100012120112120 has 64 divisors (see below), whose sum is σ = 225336502268640. Its totient is φ = 39949887398400.

The previous prime is 100012120112029. The next prime is 100012120112131. The reversal of 100012120112120 is 21211021210001.

It is a super-2 number, since 2×100012120112120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100012120112095 and 100012120112104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233776010 + ... + 234203430.

Almost surely, 2^{100012120112120} is an apocalyptic number.

100012120112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012120112120 is an abundant number, since it is smaller than the sum of its proper divisors (125324382156520).

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

100012120112120 is a wasteful number, since it uses less digits than its factorization.

100012120112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435456 (or 435452 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100012120112120 its reverse (21211021210001), we get a palindrome (121223141322121).

The spelling of 100012120112120 in words is "one hundred trillion, twelve billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty".