101012110012020 has 48 divisors (see below), whose sum is σ = 282838031921088. Its totient is φ = 26936169918720.

The previous prime is 101012110011997. The next prime is 101012110012031. The reversal of 101012110012020 is 20210011210101.

It is a super-2 number, since 2×101012110012020² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101012110011987 and 101012110012005.

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, 8112466 + ... + 16365705.

It is an arithmetic number, because the mean of its divisors is an integer number (5892458998356).

Almost surely, 2^{101012110012020} is an apocalyptic number.

101012110012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012110012020 is an abundant number, since it is smaller than the sum of its proper divisors (181825921909068).

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

101012110012020 is a wasteful number, since it uses less digits than its factorization.

101012110012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24546960 (or 24546958 counting only the distinct ones).

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

Adding to 101012110012020 its reverse (20210011210101), we get a palindrome (121222121222121).

The spelling of 101012110012020 in words is "one hundred one trillion, twelve billion, one hundred ten million, twelve thousand, twenty".