102011432816700 has 324 divisors, whose sum is σ = 356274376223584. Its totient is φ = 24391274688000.

The previous prime is 102011432816651. The next prime is 102011432816753. The reversal of 102011432816700 is 7618234110201.

102011432816700 is a `hidden beast` number, since 1 + 0 + 201 + 1 + 432 + 8 + 16 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1533645 + ... + 14365755.

Almost surely, 2^{102011432816700} is an apocalyptic number.

102011432816700 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 102011432816700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178137188111792).

102011432816700 is an abundant number, since it is smaller than the sum of its proper divisors (254262943406884).

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

102011432816700 is a wasteful number, since it uses less digits than its factorization.

102011432816700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12832226 (or 12832205 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 102011432816700 its reverse (7618234110201), we get a palindrome (109629666926901).

The spelling of 102011432816700 in words is "one hundred two trillion, eleven billion, four hundred thirty-two million, eight hundred sixteen thousand, seven hundred".