102110010313311 has 96 divisors (see below), whose sum is σ = 198072126120960. Its totient is φ = 48953804889600.

The previous prime is 102110010313307. The next prime is 102110010313319. The reversal of 102110010313311 is 113313010011201.

102110010313311 is a `hidden beast` number, since 1 + 0 + 21 + 10 + 0 + 10 + 313 + 311 = 666.

It is not a de Polignac number, because 102110010313311 - 2² = 102110010313307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110010313319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42885846 + ... + 45204156.

It is an arithmetic number, because the mean of its divisors is an integer number (2063251313760).

Almost surely, 2^{102110010313311} is an apocalyptic number.

102110010313311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102110010313311 is a deficient number, since it is larger than the sum of its proper divisors (95962115807649).

102110010313311 is a wasteful number, since it uses less digits than its factorization.

102110010313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323237 (or 2323234 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 102110010313311 its reverse (113313010011201), we get a palindrome (215423020324512).

The spelling of 102110010313311 in words is "one hundred two trillion, one hundred ten billion, ten million, three hundred thirteen thousand, three hundred eleven".