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100210202121020 = 225101271521351361
BaseRepresentation
bin10110110010010000000001…
…100000000001001100111100
3111010211000001021200122211012
4112302100001200001030330
5101113320443220333040
6553043533055414352
730051643140531305
oct2662200140011474
9433730037618735
10100210202121020
1129a259a9693952
12b2a54a9b243b8
1343bba20ca0104
141aa62b1c2b7ac
15b8ba6d729865
hex5b240180133c

100210202121020 has 96 divisors (see below), whose sum is σ = 213719258979072. Its totient is φ = 39464755200000.

The previous prime is 100210202121011. The next prime is 100210202121047. The reversal of 100210202121020 is 20121202012001.

It is a junction number, because it is equal to n+sod(n) for n = 100210202120986 and 100210202121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285030140 + ... + 285381500.

It is an arithmetic number, because the mean of its divisors is an integer number (2226242281032).

Almost surely, 2100210202121020 is an apocalyptic number.

100210202121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210202121020 is an abundant number, since it is smaller than the sum of its proper divisors (113509056858052).

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

100210202121020 is a wasteful number, since it uses less digits than its factorization.

100210202121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352263 (or 352261 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100210202121020 its reverse (20121202012001), we get a palindrome (120331404133021).

The spelling of 100210202121020 in words is "one hundred trillion, two hundred ten billion, two hundred two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 271 404 505 521 542 1010 1042 1084 1355 2020 2084 2605 2710 5210 5420 10420 27371 52621 54742 105242 109484 136855 141191 210484 263105 273710 282382 351361 526210 547420 564764 702722 705955 1052420 1405444 1411910 1756805 2823820 3513610 7027220 14260291 28520582 35487461 57041164 70974922 71301455 95218831 141949844 142602910 177437305 183059081 190437662 285205820 354874610 366118162 380875324 476094155 709749220 732236324 915295405 952188310 1830590810 1904376620 3661181620 9617101931 18488967181 19234203862 36977934362 38468407724 48085509655 49609010951 73955868724 92444835905 96171019310 99218021902 184889671810 192342038620 198436043804 248045054755 369779343620 496090109510 992180219020 5010510106051 10021020212102 20042040424204 25052550530255 50105101060510 100210202121020