102200120011311 has 32 divisors (see below), whose sum is σ = 160758042624000. Its totient is φ = 56515891436640.

The previous prime is 102200120011291. The next prime is 102200120011357. The reversal of 102200120011311 is 113110021002201.

It is not a de Polignac number, because 102200120011311 - 2⁵ = 102200120011279 is a prime.

It is a super-2 number, since 2×102200120011311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200120011211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179677840 + ... + 180245738.

It is an arithmetic number, because the mean of its divisors is an integer number (5023688832000).

Almost surely, 2^{102200120011311} is an apocalyptic number.

102200120011311 is a deficient number, since it is larger than the sum of its proper divisors (58557922612689).

102200120011311 is a wasteful number, since it uses less digits than its factorization.

102200120011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844379.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102200120011311 its reverse (113110021002201), we get a palindrome (215310141013512).

The spelling of 102200120011311 in words is "one hundred two trillion, two hundred billion, one hundred twenty million, eleven thousand, three hundred eleven".