102012023302200 has 288 divisors, whose sum is σ = 374843988426960. Its totient is φ = 24656802508800.

The previous prime is 102012023302151. The next prime is 102012023302303. The reversal of 102012023302200 is 2203320210201.

102012023302200 is a `hidden beast` number, since 1 + 0 + 20 + 120 + 23 + 302 + 200 = 666.

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 71 ways as a sum of consecutive naturals, for example, 971499 + ... + 14316698.

Almost surely, 2^{102012023302200} is an apocalyptic number.

102012023302200 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 102012023302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187421994213480).

102012023302200 is an abundant number, since it is smaller than the sum of its proper divisors (272831965124760).

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

102012023302200 is a wasteful number, since it uses less digits than its factorization.

102012023302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15288567 (or 15288555 counting only the distinct ones).

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

Adding to 102012023302200 its reverse (2203320210201), we get a palindrome (104215343512401).

The spelling of 102012023302200 in words is "one hundred two trillion, twelve billion, twenty-three million, three hundred two thousand, two hundred".