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100021002201120 = 253572111337803741
BaseRepresentation
bin10110101111011111110100…
…010011100110100000100000
3111010010220200121122220000110
4112233133310103212200200
5101102221003030413440
6552421003012451320
730032164450665300
oct2657376423464040
9433126617586013
10100021002201120
112996273a222790
12b2748a7319b40
1343a6c2b34b8a0
141a9b084259600
15b86b98504080
hex5af7f44e6820

100021002201120 has 1152 divisors, whose sum is σ = 442217768170752. Its totient is φ = 18666314956800.

The previous prime is 100021002201077. The next prime is 100021002201121. The reversal of 100021002201120 is 21102200120001.

100021002201120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 100021002201096 and 100021002201105.

It is not an unprimeable number, because it can be changed into a prime (100021002201121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124042450 + ... + 124846190.

It is an arithmetic number, because the mean of its divisors is an integer number (383869590426).

Almost surely, 2100021002201120 is an apocalyptic number.

100021002201120 is a gapful number since it is divisible by the number (10) 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 100021002201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221108884085376).

100021002201120 is an abundant number, since it is smaller than the sum of its proper divisors (342196765969632).

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

100021002201120 is a wasteful number, since it uses less digits than its factorization.

100021002201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803834 (or 803819 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100021002201120 its reverse (21102200120001), we get a palindrome (121123202321121).

The spelling of 100021002201120 in words is "one hundred trillion, twenty-one billion, two million, two hundred one thousand, one hundred twenty".