102202203213000 has 768 divisors, whose sum is σ = 402116003078400. Its totient is φ = 23150707200000.

The previous prime is 102202203212987. The next prime is 102202203213049. The reversal of 102202203213000 is 312302202201.

102202203213000 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 2 + 20 + 321 + 300 + 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 191 ways as a sum of consecutive naturals, for example, 136940850 + ... + 137685150.

It is an arithmetic number, because the mean of its divisors is an integer number (523588545675).

Almost surely, 2^{102202203213000} is an apocalyptic number.

102202203213000 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 102202203213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201058001539200).

102202203213000 is an abundant number, since it is smaller than the sum of its proper divisors (299913799865400).

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

102202203213000 is a wasteful number, since it uses less digits than its factorization.

102202203213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744431 (or 744414 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102202203213000 its reverse (312302202201), we get a palindrome (102514505415201).

The spelling of 102202203213000 in words is "one hundred two trillion, two hundred two billion, two hundred three million, two hundred thirteen thousand".