10102332311000 has 128 divisors (see below), whose sum is σ = 23816529360000. Its totient is φ = 4010764032000.

The previous prime is 10102332310997. The next prime is 10102332311021. The reversal of 10102332311000 is 11323320101.

It is a self number, because there is not a number n which added to its sum of digits gives 10102332311000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81328940 + ... + 81453060.

It is an arithmetic number, because the mean of its divisors is an integer number (186066635625).

Almost surely, 2^{10102332311000} is an apocalyptic number.

10102332311000 is a gapful number since it is divisible by the number (10) 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 10102332311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11908264680000).

10102332311000 is an abundant number, since it is smaller than the sum of its proper divisors (13714197049000).

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

10102332311000 is a wasteful number, since it uses less digits than its factorization.

10102332311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124750 (or 124736 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10102332311000 its reverse (11323320101), we get a palindrome (10113655631101).

It can be divided in two parts, 1010233 and 2311000, that added together give a palindrome (3321233).

The spelling of 10102332311000 in words is "ten trillion, one hundred two billion, three hundred thirty-two million, three hundred eleven thousand".