10022103111311 has 16 divisors (see below), whose sum is σ = 10543772505600. Its totient is φ = 9512183438688.

The previous prime is 10022103111283. The next prime is 10022103111323. The reversal of 10022103111311 is 11311130122001.

It is not a de Polignac number, because 10022103111311 - 2²² = 10022098917007 is a prime.

It is a super-2 number, since 2×10022103111311² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10022103111311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022103111611) 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, 61965230 + ... + 62126756.

It is an arithmetic number, because the mean of its divisors is an integer number (658985781600).

Almost surely, 2^{10022103111311} is an apocalyptic number.

10022103111311 is a deficient number, since it is larger than the sum of its proper divisors (521669394289).

10022103111311 is a wasteful number, since it uses less digits than its factorization.

10022103111311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197878.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10022103111311 its reverse (11311130122001), we get a palindrome (21333233233312).

The spelling of 10022103111311 in words is "ten trillion, twenty-two billion, one hundred three million, one hundred eleven thousand, three hundred eleven".