101011202013 has 16 divisors (see below), whose sum is σ = 139335367680. Its totient is φ = 65014238016.

The previous prime is 101011201981. The next prime is 101011202023. The reversal of 101011202013 is 310202110101.

It is not a de Polignac number, because 101011202013 - 2⁵ = 101011201981 is a prime.

It is a super-2 number, since 2×101011202013² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101011202013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011202023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1636356 + ... + 1696962.

It is an arithmetic number, because the mean of its divisors is an integer number (8708460480).

Almost surely, 2^101011202013 is an apocalyptic number.

It is an amenable number.

101011202013 is a deficient number, since it is larger than the sum of its proper divisors (38324165667).

101011202013 is a wasteful number, since it uses less digits than its factorization.

101011202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79796.

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

Adding to 101011202013 its reverse (310202110101), we get a palindrome (411213312114).

The spelling of 101011202013 in words is "one hundred one billion, eleven million, two hundred two thousand, thirteen".