10012120020213 has 32 divisors (see below), whose sum is σ = 13444350067200. Its totient is φ = 6627477931200.

The previous prime is 10012120020197. The next prime is 10012120020241. The reversal of 10012120020213 is 31202002121001.

It is not a de Polignac number, because 10012120020213 - 2⁴ = 10012120020197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012120020192 and 10012120020201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012120020113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189224918 + ... + 1189233336.

It is an arithmetic number, because the mean of its divisors is an integer number (420135939600).

Almost surely, 2^{10012120020213} is an apocalyptic number.

It is an amenable number.

10012120020213 is a deficient number, since it is larger than the sum of its proper divisors (3432230046987).

10012120020213 is a wasteful number, since it uses less digits than its factorization.

10012120020213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12833.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10012120020213 its reverse (31202002121001), we get a palindrome (41214122141214).

The spelling of 10012120020213 in words is "ten trillion, twelve billion, one hundred twenty million, twenty thousand, two hundred thirteen".