102203002213200 has 720 divisors, whose sum is σ = 413435730264960. Its totient is φ = 22896485498880.

The previous prime is 102203002213187. The next prime is 102203002213211. The reversal of 102203002213200 is 2312200302201.

102203002213200 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 300 + 2 + 21 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×102203002213200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 500949612 + ... + 501153588.

Almost surely, 2^{102203002213200} is an apocalyptic number.

102203002213200 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 102203002213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206717865132480).

102203002213200 is an abundant number, since it is smaller than the sum of its proper divisors (311232728051760).

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

102203002213200 is a wasteful number, since it uses less digits than its factorization.

102203002213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204404 (or 204390 counting only the distinct ones).

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

Adding to 102203002213200 its reverse (2312200302201), we get a palindrome (104515202515401).

The spelling of 102203002213200 in words is "one hundred two trillion, two hundred three billion, two million, two hundred thirteen thousand, two hundred".