102200321113000 has 384 divisors, whose sum is σ = 265083133835520. Its totient is φ = 36850756800000.

The previous prime is 102200321112887. The next prime is 102200321113019. The reversal of 102200321113000 is 311123002201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35205069549 + ... + 35205072451.

It is an arithmetic number, because the mean of its divisors is an integer number (690320661030).

Almost surely, 2^{102200321113000} is an apocalyptic number.

102200321113000 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 102200321113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132541566917760).

102200321113000 is an abundant number, since it is smaller than the sum of its proper divisors (162882812722520).

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

102200321113000 is a wasteful number, since it uses less digits than its factorization.

102200321113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102200321113000 its reverse (311123002201), we get a palindrome (102511444115201).

The spelling of 102200321113000 in words is "one hundred two trillion, two hundred billion, three hundred twenty-one million, one hundred thirteen thousand".