102114242012322 has 24 divisors (see below), whose sum is σ = 221299990145676. Its totient is φ = 34030009011456.

The previous prime is 102114242012311. The next prime is 102114242012359. The reversal of 102114242012322 is 223210242411201.

102114242012322 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 4 + 2 + 420 + 1 + 232 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102098272888161 + 15969124161 = 10104369^2 + 126369^2 .

It is a super-3 number, since 3×102114242012322³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672560263 + ... + 672712074.

Almost surely, 2^{102114242012322} is an apocalyptic number.

102114242012322 is an abundant number, since it is smaller than the sum of its proper divisors (119185748133354).

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

102114242012322 is a wasteful number, since it uses less digits than its factorization.

102114242012322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345276562 (or 1345276559 counting only the distinct ones).

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

Adding to 102114242012322 its reverse (223210242411201), we get a palindrome (325324484423523).

The spelling of 102114242012322 in words is "one hundred two trillion, one hundred fourteen billion, two hundred forty-two million, twelve thousand, three hundred twenty-two".