101112301002120 has 64 divisors (see below), whose sum is σ = 303337973157120. Its totient is φ = 26963185142784.

The previous prime is 101112301002107. The next prime is 101112301002121. The reversal of 101112301002120 is 21200103211101.

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 101112301002120.

It is not an unprimeable number, because it can be changed into a prime (101112301002121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36751584 + ... + 39406896.

It is an arithmetic number, because the mean of its divisors is an integer number (4739655830580).

Almost surely, 2^{101112301002120} is an apocalyptic number.

101112301002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112301002120 is an abundant number, since it is smaller than the sum of its proper divisors (202225672155000).

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

101112301002120 is a wasteful number, since it uses less digits than its factorization.

101112301002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972654 (or 2972650 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101112301002120 its reverse (21200103211101), we get a palindrome (122312404213221).

The spelling of 101112301002120 in words is "one hundred one trillion, one hundred twelve billion, three hundred one million, two thousand, one hundred twenty".