120000101000021 has 32 divisors (see below), whose sum is σ = 134539173624960. Its totient is φ = 106986773013120.

The previous prime is 120000100999993. The next prime is 120000101000071.

120000101000021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120000101000021 - 2²² = 120000096805717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120000100999972 and 120000101000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000101000071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164636441 + ... + 165363713.

It is an arithmetic number, because the mean of its divisors is an integer number (4204349175780).

Almost surely, 2^{120000101000021} is an apocalyptic number.

120000101000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120000101000021 is a deficient number, since it is larger than the sum of its proper divisors (14539072624939).

120000101000021 is an equidigital number, since it uses as much as digits as its factorization.

120000101000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729698 (or 729676 counting only the distinct ones).

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

It can be divided in two parts, 12000010 and 1000021, that added together give a palindrome (13000031).

The spelling of 120000101000021 in words is "one hundred twenty trillion, one hundred one million, twenty-one", and thus it is an aban number.