212100100113013 has 8 divisors (see below), whose sum is σ = 250219472944640. Its totient is φ = 175935566913840.

The previous prime is 212100100112987. The next prime is 212100100113059. The reversal of 212100100113013 is 310311001001212.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212100100113013 - 2¹⁷ = 212100099981941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100100143013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488709907878 + ... + 488709908311.

It is an arithmetic number, because the mean of its divisors is an integer number (31277434118080).

Almost surely, 2^{212100100113013} is an apocalyptic number.

It is an amenable number.

212100100113013 is a deficient number, since it is larger than the sum of its proper divisors (38119372831627).

212100100113013 is an equidigital number, since it uses as much as digits as its factorization.

212100100113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977419816227.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 212100100113013 its reverse (310311001001212), we get a palindrome (522411101114225).

The spelling of 212100100113013 in words is "two hundred twelve trillion, one hundred billion, one hundred million, one hundred thirteen thousand, thirteen".