100120212002120 has 64 divisors (see below), whose sum is σ = 227327486238720. Its totient is φ = 39682592216064.

The previous prime is 100120212002087. The next prime is 100120212002137. The reversal of 100120212002120 is 21200212021001.

It is a junction number, because it is equal to n+sod(n) for n = 100120212002095 and 100120212002104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13104107 + ... + 19286213.

It is an arithmetic number, because the mean of its divisors is an integer number (3551991972480).

Almost surely, 2^{100120212002120} is an apocalyptic number.

100120212002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120212002120 is an abundant number, since it is smaller than the sum of its proper divisors (127207274236600).

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

100120212002120 is a wasteful number, since it uses less digits than its factorization.

100120212002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6185814 (or 6185810 counting only the distinct ones).

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

Adding to 100120212002120 its reverse (21200212021001), we get a palindrome (121320424023121).

The spelling of 100120212002120 in words is "one hundred trillion, one hundred twenty billion, two hundred twelve million, two thousand, one hundred twenty".