100120112121012 has 48 divisors (see below), whose sum is σ = 236294989539840. Its totient is φ = 32992472403072.

The previous prime is 100120112120993. The next prime is 100120112121049. The reversal of 100120112121012 is 210121211021001.

It is a happy number.

It is a super-2 number, since 2×100120112121012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100120112120982 and 100120112121000.

It is a congruent number.

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, 134507812 + ... + 135250107.

It is an arithmetic number, because the mean of its divisors is an integer number (4922812282080).

Almost surely, 2^{100120112121012} is an apocalyptic number.

100120112121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120112121012 is an abundant number, since it is smaller than the sum of its proper divisors (136174877418828).

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

100120112121012 is a wasteful number, since it uses less digits than its factorization.

100120112121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269758280 (or 269758278 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100120112121012 its reverse (210121211021001), we get a palindrome (310241323142013).

The spelling of 100120112121012 in words is "one hundred trillion, one hundred twenty billion, one hundred twelve million, one hundred twenty-one thousand, twelve".