101022012013 has 16 divisors (see below), whose sum is σ = 112548930480. Its totient is φ = 90068461056.

The previous prime is 101022012001. The next prime is 101022012037. The reversal of 101022012013 is 310210220101.

It can be written as a sum of positive squares in 8 ways, for example, as 343991209 + 100678020804 = 18547^2 + 317298^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022012013 - 2¹⁷ = 101021880941 is a prime.

It is a super-2 number, since 2×101022012013² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101022011984 and 101022012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022010013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700618 + ... + 832411.

It is an arithmetic number, because the mean of its divisors is an integer number (7034308155).

Almost surely, 2^101022012013 is an apocalyptic number.

101022012013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101022012013 is a deficient number, since it is larger than the sum of its proper divisors (11526918467).

101022012013 is a wasteful number, since it uses less digits than its factorization.

101022012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533216.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101022012013 its reverse (310210220101), we get a palindrome (411232232114).

The spelling of 101022012013 in words is "one hundred one billion, twenty-two million, twelve thousand, thirteen".