101001001112120 has 64 divisors (see below), whose sum is σ = 238863681760320. Its totient is φ = 38361789266944.

The previous prime is 101001001112111. The next prime is 101001001112149. The reversal of 101001001112120 is 21211100100101.

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, 400544387 + ... + 400796466.

It is an arithmetic number, because the mean of its divisors is an integer number (3732245027505).

Almost surely, 2^{101001001112120} is an apocalyptic number.

101001001112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001001112120 is an abundant number, since it is smaller than the sum of its proper divisors (137862680648200).

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

101001001112120 is a wasteful number, since it uses less digits than its factorization.

101001001112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801341024 (or 801341020 counting only the distinct ones).

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

Adding to 101001001112120 its reverse (21211100100101), we get a palindrome (122212101212221).

The spelling of 101001001112120 in words is "one hundred one trillion, one billion, one million, one hundred twelve thousand, one hundred twenty".