102134412442692 has 432 divisors, whose sum is σ = 325137206925440. Its totient is φ = 27456561819648.

The previous prime is 102134412442679. The next prime is 102134412442729. The reversal of 102134412442692 is 296244214431201.

102134412442692 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 344 + 1 + 2 + 44 + 269 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9770817738 + ... + 9770828190.

Almost surely, 2^{102134412442692} is an apocalyptic number.

102134412442692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102134412442692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162568603462720).

102134412442692 is an abundant number, since it is smaller than the sum of its proper divisors (223002794482748).

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

102134412442692 is a wasteful number, since it uses less digits than its factorization.

102134412442692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15482 (or 15451 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

Adding to 102134412442692 its reverse (296244214431201), we get a palindrome (398378626873893).

The spelling of 102134412442692 in words is "one hundred two trillion, one hundred thirty-four billion, four hundred twelve million, four hundred forty-two thousand, six hundred ninety-two".