102122240313240 has 192 divisors, whose sum is σ = 381823174287360. Its totient is φ = 23187641990400.

The previous prime is 102122240313217. The next prime is 102122240313241. The reversal of 102122240313240 is 42313042221201.

102122240313240 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 2 + 2 + 403 + 13 + 240 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122240313241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133807224 + ... + 134568263.

It is an arithmetic number, because the mean of its divisors is an integer number (1988662366080).

Almost surely, 2^{102122240313240} is an apocalyptic number.

102122240313240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122240313240 is an abundant number, since it is smaller than the sum of its proper divisors (279700933974120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102122240313240 is a wasteful number, since it uses less digits than its factorization.

102122240313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268375662 (or 268375655 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102122240313240 its reverse (42313042221201), we get a palindrome (144435282534441).

The spelling of 102122240313240 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred forty million, three hundred thirteen thousand, two hundred forty".