102122244040311 has 24 divisors (see below), whose sum is σ = 161944867238544. Its totient is φ = 61498050831360.

The previous prime is 102122244040309. The next prime is 102122244040321. The reversal of 102122244040311 is 113040442221201.

102122244040311 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 2 + 244 + 0 + 403 + 11 = 666.

It is not a de Polignac number, because 102122244040311 - 2¹ = 102122244040309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122244040321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3285136746 + ... + 3285167831.

It is an arithmetic number, because the mean of its divisors is an integer number (6747702801606).

Almost surely, 2^{102122244040311} is an apocalyptic number.

102122244040311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102122244040311 is a deficient number, since it is larger than the sum of its proper divisors (59822623198233).

102122244040311 is a wasteful number, since it uses less digits than its factorization.

102122244040311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6570304751 (or 6570304748 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102122244040311 its reverse (113040442221201), we get a palindrome (215162686261512).

The spelling of 102122244040311 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred forty-four million, forty thousand, three hundred eleven".