101022210022013 has 64 divisors (see below), whose sum is σ = 117730929254400. Its totient is φ = 84903895802880.

The previous prime is 101022210021961. The next prime is 101022210022073. The reversal of 101022210022013 is 310220012220101.

It is not a de Polignac number, because 101022210022013 - 2¹⁶ = 101022209956477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101022210021982 and 101022210022000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022210022073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63816935420 + ... + 63816937002.

It is an arithmetic number, because the mean of its divisors is an integer number (1839545769600).

Almost surely, 2^{101022210022013} is an apocalyptic number.

It is an amenable number.

101022210022013 is a deficient number, since it is larger than the sum of its proper divisors (16708719232387).

101022210022013 is a wasteful number, since it uses less digits than its factorization.

101022210022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101022210022013 its reverse (310220012220101), we get a palindrome (411242222242114).

The spelling of 101022210022013 in words is "one hundred one trillion, twenty-two billion, two hundred ten million, twenty-two thousand, thirteen".