101012111000120 has 128 divisors (see below), whose sum is σ = 242909237102400. Its totient is φ = 37670678470656.

The previous prime is 101012111000089. The next prime is 101012111000179. The reversal of 101012111000120 is 21000111210101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332127962 + ... + 332431958.

Almost surely, 2^{101012111000120} is an apocalyptic number.

101012111000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012111000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121454618551200).

101012111000120 is an abundant number, since it is smaller than the sum of its proper divisors (141897126102280).

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

101012111000120 is a wasteful number, since it uses less digits than its factorization.

101012111000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308617 (or 308613 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101012111000120 its reverse (21000111210101), we get a palindrome (122012222210221).

The spelling of 101012111000120 in words is "one hundred one trillion, twelve billion, one hundred eleven million, one hundred twenty", and thus it is an aban number.