10002101102032 has 20 divisors (see below), whose sum is σ = 20869768646020. Its totient is φ = 4616354354688.

The previous prime is 10002101102027. The next prime is 10002101102141. The reversal of 10002101102032 is 23020110120001.

10002101102032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6397479896976 + 3604621205056 = 2529324^2 + 1898584^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24043512057 + ... + 24043512472.

It is an arithmetic number, because the mean of its divisors is an integer number (1043488432301).

Almost surely, 2^{10002101102032} is an apocalyptic number.

It is an amenable number.

10002101102032 is an abundant number, since it is smaller than the sum of its proper divisors (10867667543988).

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

10002101102032 is a wasteful number, since it uses less digits than its factorization.

10002101102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48087024550 (or 48087024544 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10002101102032 its reverse (23020110120001), we get a palindrome (33022211222033).

The spelling of 10002101102032 in words is "ten trillion, two billion, one hundred one million, one hundred two thousand, thirty-two".