101012112120120 has 128 divisors (see below), whose sum is σ = 303944571072000. Its totient is φ = 26855940354560.

The previous prime is 101012112120119. The next prime is 101012112120121. The reversal of 101012112120120 is 21021211210101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101012112120119) and next prime (101012112120121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101012112120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012112120121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58457101 + ... + 60160259.

It is an arithmetic number, because the mean of its divisors is an integer number (2374566961500).

Almost surely, 2^{101012112120120} is an apocalyptic number.

101012112120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012112120120 is an abundant number, since it is smaller than the sum of its proper divisors (202932458951880).

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

101012112120120 is a wasteful number, since it uses less digits than its factorization.

101012112120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704653 (or 1704649 counting only the distinct ones).

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

Adding to 101012112120120 its reverse (21021211210101), we get a palindrome (122033323330221).

The spelling of 101012112120120 in words is "one hundred one trillion, twelve billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".