102122112310032 has 80 divisors (see below), whose sum is σ = 266447496248960. Its totient is φ = 33701261607936.

The previous prime is 102122112310013. The next prime is 102122112310073. The reversal of 102122112310032 is 230013211221201.

It is a junction number, because it is equal to n+sod(n) for n = 102122112309990 and 102122112310008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15893718 + ... + 21374154.

It is an arithmetic number, because the mean of its divisors is an integer number (3330593703112).

Almost surely, 2^{102122112310032} is an apocalyptic number.

102122112310032 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 102122112310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133223748124480).

102122112310032 is an abundant number, since it is smaller than the sum of its proper divisors (164325383938928).

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

102122112310032 is a wasteful number, since it uses less digits than its factorization.

102122112310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484320 (or 5484314 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102122112310032 its reverse (230013211221201), we get a palindrome (332135323531233).

The spelling of 102122112310032 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twelve million, three hundred ten thousand, thirty-two".