102011122032000 has 256 divisors, whose sum is σ = 338215129836480. Its totient is φ = 27199083724800.

The previous prime is 102011122031989. The next prime is 102011122032011. The reversal of 102011122032000 is 230221110201.

It is an interprime number because it is at equal distance from previous prime (102011122031989) and next prime (102011122032011).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 344347942 + ... + 344644058.

Almost surely, 2^{102011122032000} is an apocalyptic number.

102011122032000 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 102011122032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169107564918240).

102011122032000 is an abundant number, since it is smaller than the sum of its proper divisors (236204007804480).

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

102011122032000 is an equidigital number, since it uses as much as digits as its factorization.

102011122032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303326 (or 303304 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102011122032000 its reverse (230221110201), we get a palindrome (102241343142201).

The spelling of 102011122032000 in words is "one hundred two trillion, eleven billion, one hundred twenty-two million, thirty-two thousand".