100122002011152 has 120 divisors (see below), whose sum is σ = 318965745653568. Its totient is φ = 29020870137600.

The previous prime is 100122002011127. The next prime is 100122002011177. The reversal of 100122002011152 is 251110200221001.

100122002011152 is a `hidden beast` number, since 100 + 12 + 200 + 201 + 1 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (100122002011127) and next prime (100122002011177).

It is a super-2 number, since 2×100122002011152² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374057799 + ... + 1374130662.

Almost surely, 2^{100122002011152} is an apocalyptic number.

100122002011152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122002011152 is an abundant number, since it is smaller than the sum of its proper divisors (218843743642416).

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

100122002011152 is a wasteful number, since it uses less digits than its factorization.

100122002011152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748188509 (or 2748188500 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 100122002011152 its reverse (251110200221001), we get a palindrome (351232202232153).

The spelling of 100122002011152 in words is "one hundred trillion, one hundred twenty-two billion, two million, eleven thousand, one hundred fifty-two".