101021122202013 has 160 divisors (see below), whose sum is σ = 174349035907200. Its totient is φ = 57776690880000.

The previous prime is 101021122201931. The next prime is 101021122202083. The reversal of 101021122202013 is 310202221120101.

It is not a de Polignac number, because 101021122202013 - 2¹⁸ = 101021121939869 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 (101021122202083) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 220027738 + ... + 220486388.

It is an arithmetic number, because the mean of its divisors is an integer number (1089681474420).

Almost surely, 2^{101021122202013} is an apocalyptic number.

101021122202013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101021122202013 is a deficient number, since it is larger than the sum of its proper divisors (73327913705187).

101021122202013 is a wasteful number, since it uses less digits than its factorization.

101021122202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458905 (or 458896 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101021122202013 its reverse (310202221120101), we get a palindrome (411223343322114).

The spelling of 101021122202013 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, two hundred two thousand, thirteen".