102213120011131 has 16 divisors (see below), whose sum is σ = 109067090882688. Its totient is φ = 95455396713600.

The previous prime is 102213120011017. The next prime is 102213120011143. The reversal of 102213120011131 is 131110021312201.

It is a cyclic number.

It is not a de Polignac number, because 102213120011131 - 2²⁹ = 102212583140219 is a prime.

It is a super-2 number, since 2×102213120011131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102213120011099 and 102213120011108.

It is not an unprimeable number, because it can be changed into a prime (102213120011731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41857165 + ... + 44231758.

It is an arithmetic number, because the mean of its divisors is an integer number (6816693180168).

Almost surely, 2^{102213120011131} is an apocalyptic number.

102213120011131 is a deficient number, since it is larger than the sum of its proper divisors (6853970871557).

102213120011131 is a wasteful number, since it uses less digits than its factorization.

102213120011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86089482.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 102213120011131 its reverse (131110021312201), we get a palindrome (233323141323332).

The spelling of 102213120011131 in words is "one hundred two trillion, two hundred thirteen billion, one hundred twenty million, eleven thousand, one hundred thirty-one".