101000120120 has 32 divisors (see below), whose sum is σ = 227261527200. Its totient is φ = 40398046848.

The previous prime is 101000120101. The next prime is 101000120141. The reversal of 101000120120 is 21021000101.

It is a Harshad number since it is a multiple of its sum of digits (8).

101000120120 is a modest number, since divided by 120120 gives 101000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101000120098 and 101000120107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 962477 + ... + 1062243.

It is an arithmetic number, because the mean of its divisors is an integer number (7101922725).

Almost surely, 2^101000120120 is an apocalyptic number.

101000120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000120120 is an abundant number, since it is smaller than the sum of its proper divisors (126261407080).

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

101000120120 is a wasteful number, since it uses less digits than its factorization.

101000120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125087 (or 125083 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101000120120 its reverse (21021000101), we get a palindrome (122021120221).

The spelling of 101000120120 in words is "one hundred one billion, one hundred twenty thousand, one hundred twenty".