100236165120 has 1280 divisors, whose sum is σ = 447617681280. Its totient is φ = 20893925376.

The previous prime is 100236165097. The next prime is 100236165131. The reversal of 100236165120 is 21561632001.

100236165120 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 6 + 1 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×100236165120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1207664599 + ... + 1207664681.

Almost surely, 2^100236165120 is an apocalyptic number.

100236165120 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 100236165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223808840640).

100236165120 is an abundant number, since it is smaller than the sum of its proper divisors (347381516160).

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

100236165120 is an frugal number, since it uses more digits than its factorization.

100236165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 100236165120 its reverse (21561632001), we get a palindrome (121797797121).

It can be divided in two parts, 100236 and 165120, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 100236165120 in words is "one hundred billion, two hundred thirty-six million, one hundred sixty-five thousand, one hundred twenty".