101020010120 has 32 divisors (see below), whose sum is σ = 229545477720. Its totient is φ = 40007923200.

The previous prime is 101020010111. The next prime is 101020010137. The reversal of 101020010120 is 21010020101.

It can be written as a sum of positive squares in 4 ways, for example, as 100604421124 + 415588996 = 317182^2 + 20386^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101020010098 and 101020010107.

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, 12498437 + ... + 12506516.

Almost surely, 2^101020010120 is an apocalyptic number.

101020010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020010120 is an abundant number, since it is smaller than the sum of its proper divisors (128525467600).

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

101020010120 is a wasteful number, since it uses less digits than its factorization.

101020010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25005065 (or 25005061 counting only the distinct ones).

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

Adding to 101020010120 its reverse (21010020101), we get a palindrome (122030030221).

The spelling of 101020010120 in words is "one hundred one billion, twenty million, ten thousand, one hundred twenty".