102200004900 has 432 divisors, whose sum is σ = 387564777600. Its totient is φ = 22028267520.

The previous prime is 102200004853. The next prime is 102200004901. The reversal of 102200004900 is 9400002201.

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

It is not an unprimeable number, because it can be changed into a prime (102200004901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7849596 + ... + 7862604.

Almost surely, 2^102200004900 is an apocalyptic number.

102200004900 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 102200004900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193782388800).

102200004900 is an abundant number, since it is smaller than the sum of its proper divisors (285364772700).

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

102200004900 is a wasteful number, since it uses less digits than its factorization.

102200004900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13108 (or 13098 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 102200004900 in words is "one hundred two billion, two hundred million, four thousand, nine hundred".