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100021100210112 = 26331109315374767
BaseRepresentation
bin10110101111011111111010…
…001001011110011111000000
3111010010220221110002021002010
4112233133322021132133000
5101102221203123210422
6552421020433252520
730032200051025634
oct2657377211363700
9433126843067063
10100021100210112
112996278a584354
12b274914104140
1343a6c45746083
141a9b09328cdc4
15b86ba1e13b0c
hex5af7fa25e7c0

100021100210112 has 112 divisors (see below), whose sum is σ = 273425858097152. Its totient is φ = 32235349386240.

The previous prime is 100021100210069. The next prime is 100021100210137. The reversal of 100021100210112 is 211012001120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1181848 + ... + 14192919.

Almost surely, 2100021100210112 is an apocalyptic number.

100021100210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021100210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136712929048576).

100021100210112 is an abundant number, since it is smaller than the sum of its proper divisors (173404757887040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100021100210112 is a wasteful number, since it uses less digits than its factorization.

100021100210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15375906 (or 15375896 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100021100210112 its reverse (211012001120001), we get a palindrome (311033101330113).

The spelling of 100021100210112 in words is "one hundred trillion, twenty-one billion, one hundred million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1093 1488 1984 2186 2976 3279 4372 5952 6558 8744 13116 17488 26232 33883 34976 52464 67766 69952 101649 104928 135532 203298 209856 271064 406596 542128 813192 1084256 1626384 2168512 3252768 6505536 15374767 30749534 46124301 61499068 92248602 122998136 184497204 245996272 368994408 476617777 491992544 737988816 953235554 983985088 1429853331 1475977632 1906471108 2859706662 2951955264 3812942216 5719413324 7625884432 11438826648 15251768864 16804620331 22877653296 30503537728 33609240662 45755306592 50413860993 67218481324 91510613184 100827721986 134436962648 201655443972 268873925296 403310887944 520943230261 537747850592 806621775888 1041886460522 1075495701184 1562829690783 1613243551776 2083772921044 3125659381566 3226487103552 4167545842088 6251318763132 8335091684176 12502637526264 16670183368352 25005275052528 33340366736704 50010550105056 100021100210112