102112220310100 has 576 divisors, whose sum is σ = 298555531223040. Its totient is φ = 29275982438400.

The previous prime is 102112220309971. The next prime is 102112220310197. The reversal of 102112220310100 is 1013022211201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42247504092 + ... + 42247506508.

It is an arithmetic number, because the mean of its divisors is an integer number (518325575040).

Almost surely, 2^{102112220310100} is an apocalyptic number.

102112220310100 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 102112220310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149277765611520).

102112220310100 is an abundant number, since it is smaller than the sum of its proper divisors (196443310912940).

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

102112220310100 is a wasteful number, since it uses less digits than its factorization.

102112220310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102112220310100 its reverse (1013022211201), we get a palindrome (103125242521301).

The spelling of 102112220310100 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty million, three hundred ten thousand, one hundred".