101000220110013 has 48 divisors (see below), whose sum is σ = 160964534673600. Its totient is φ = 56127597732864.

The previous prime is 101000220110011. The next prime is 101000220110017. The reversal of 101000220110013 is 310011022000101.

It is not a de Polignac number, because 101000220110013 - 2¹ = 101000220110011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000220110011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6872013 + ... + 15786861.

It is an arithmetic number, because the mean of its divisors is an integer number (3353427805700).

Almost surely, 2^{101000220110013} is an apocalyptic number.

It is an amenable number.

101000220110013 is a deficient number, since it is larger than the sum of its proper divisors (59964314563587).

101000220110013 is a wasteful number, since it uses less digits than its factorization.

101000220110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8916986 (or 8916979 counting only the distinct ones).

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

Adding to 101000220110013 its reverse (310011022000101), we get a palindrome (411011242110114).

The spelling of 101000220110013 in words is "one hundred one trillion, two hundred twenty million, one hundred ten thousand, thirteen".