102203222233200 has 180 divisors, whose sum is σ = 359859516855384. Its totient is φ = 24776538688000.

The previous prime is 102203222233193. The next prime is 102203222233249. The reversal of 102203222233200 is 2332222302201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 351794271 + ... + 352084670.

Almost surely, 2^{102203222233200} is an apocalyptic number.

102203222233200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102203222233200 is an abundant number, since it is smaller than the sum of its proper divisors (257656294622184).

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

102203222233200 is a wasteful number, since it uses less digits than its factorization.

102203222233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703878984 (or 703878962 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 102203222233200 its reverse (2332222302201), we get a palindrome (104535444535401).

It can be divided in two parts, 1022032 and 22233200, that added together give a palindrome (23255232).

The spelling of 102203222233200 in words is "one hundred two trillion, two hundred three billion, two hundred twenty-two million, two hundred thirty-three thousand, two hundred".