101120101122000 has 160 divisors (see below), whose sum is σ = 334822320428544. Its totient is φ = 26236566720000.

The previous prime is 101120101121999. The next prime is 101120101122017. The reversal of 101120101122000 is 221101021101.

101120101122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 227525976 + ... + 227969975.

Almost surely, 2^{101120101122000} is an apocalyptic number.

101120101122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120101122000 is an abundant number, since it is smaller than the sum of its proper divisors (233702219306544).

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

101120101122000 is a wasteful number, since it uses less digits than its factorization.

101120101122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455496014 (or 455495998 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120101122000 its reverse (221101021101), we get a palindrome (101341202143101).

It can be divided in two parts, 101120101 and 122000, that added together give a palindrome (101242101).

The spelling of 101120101122000 in words is "one hundred one trillion, one hundred twenty billion, one hundred one million, one hundred twenty-two thousand".