100210112122120 has 256 divisors, whose sum is σ = 318665946009600. Its totient is φ = 27314223528960.

The previous prime is 100210112122117. The next prime is 100210112122121. The reversal of 100210112122120 is 21221211012001.

It is a junction number, because it is equal to n+sod(n) for n = 100210112122094 and 100210112122103.

It is not an unprimeable number, because it can be changed into a prime (100210112122121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65101084 + ... + 66622603.

It is an arithmetic number, because the mean of its divisors is an integer number (1244788851600).

Almost surely, 2^{100210112122120} is an apocalyptic number.

100210112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210112122120 is an abundant number, since it is smaller than the sum of its proper divisors (218455833887480).

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

100210112122120 is a wasteful number, since it uses less digits than its factorization.

100210112122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131723748 (or 131723744 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100210112122120 its reverse (21221211012001), we get a palindrome (121431323134121).

The spelling of 100210112122120 in words is "one hundred trillion, two hundred ten billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".