102202104000 has 224 divisors, whose sum is σ = 337801890816. Its totient is φ = 27227212800.

The previous prime is 102202103987. The next prime is 102202104013. The reversal of 102202104000 is 401202201.

It is an interprime number because it is at equal distance from previous prime (102202103987) and next prime (102202104013).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 42886809 + ... + 42889191.

Almost surely, 2^102202104000 is an apocalyptic number.

102202104000 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 102202104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168900945408).

102202104000 is an abundant number, since it is smaller than the sum of its proper divisors (235599786816).

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

102202104000 is a wasteful number, since it uses less digits than its factorization.

102202104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102202104000 its reverse (401202201), we get a palindrome (102603306201).

The spelling of 102202104000 in words is "one hundred two billion, two hundred two million, one hundred four thousand".