102203201000100 has 72 divisors (see below), whose sum is σ = 295712584120800. Its totient is φ = 27253757818880.

The previous prime is 102203201000099. The next prime is 102203201000177. The reversal of 102203201000100 is 1000102302201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16635076 + ... + 21934724.

It is an arithmetic number, because the mean of its divisors is an integer number (4107119223900).

Almost surely, 2^{102203201000100} is an apocalyptic number.

102203201000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102203201000100 is an abundant number, since it is smaller than the sum of its proper divisors (193509383120700).

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

102203201000100 is a wasteful number, since it uses less digits than its factorization.

102203201000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363949 (or 5363942 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102203201000100 its reverse (1000102302201), we get a palindrome (103203303302301).

The spelling of 102203201000100 in words is "one hundred two trillion, two hundred three billion, two hundred one million, one hundred", and thus it is an aban number.