101851013120 has 112 divisors (see below), whose sum is σ = 247380678720. Its totient is φ = 40248213504.

The previous prime is 101851013111. The next prime is 101851013123. The reversal of 101851013120 is 21310158101.

It is not an unprimeable number, because it can be changed into a prime (101851013123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3384701 + ... + 3414659.

It is an arithmetic number, because the mean of its divisors is an integer number (2208756060).

Almost surely, 2^101851013120 is an apocalyptic number.

101851013120 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 101851013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123690339360).

101851013120 is an abundant number, since it is smaller than the sum of its proper divisors (145529665600).

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

101851013120 is an frugal number, since it uses more digits than its factorization.

101851013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30073 (or 30049 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 23.

The spelling of 101851013120 in words is "one hundred one billion, eight hundred fifty-one million, thirteen thousand, one hundred twenty".