102200231133000 has 3072 divisors, whose sum is σ = 478592741652480. Its totient is φ = 18982895616000.

The previous prime is 102200231132983. The next prime is 102200231133047. The reversal of 102200231133000 is 331132002201.

102200231133000 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 0 + 2 + 311 + 330 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 85666580404 + ... + 85666581596.

It is an arithmetic number, because the mean of its divisors is an integer number (155791908090).

Almost surely, 2^{102200231133000} is an apocalyptic number.

102200231133000 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 102200231133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239296370826240).

102200231133000 is an abundant number, since it is smaller than the sum of its proper divisors (376392510519480).

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

102200231133000 is a wasteful number, since it uses less digits than its factorization.

102200231133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102200231133000 its reverse (331132002201), we get a palindrome (102531363135201).

The spelling of 102200231133000 in words is "one hundred two trillion, two hundred billion, two hundred thirty-one million, one hundred thirty-three thousand".