112102021222100 has 576 divisors, whose sum is σ = 314952961720320. Its totient is φ = 33661464883200.

The previous prime is 112102021222073. The next prime is 112102021222133. The reversal of 112102021222100 is 1222120201211.

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, 13155965840 + ... + 13155974360.

It is an arithmetic number, because the mean of its divisors is an integer number (546793336320).

Almost surely, 2^{112102021222100} is an apocalyptic number.

112102021222100 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 112102021222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157476480860160).

112102021222100 is an abundant number, since it is smaller than the sum of its proper divisors (202850940498220).

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

112102021222100 is a wasteful number, since it uses less digits than its factorization.

112102021222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9080 (or 9073 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 112102021222100 its reverse (1222120201211), we get a palindrome (113324141423311).

The spelling of 112102021222100 in words is "one hundred twelve trillion, one hundred two billion, twenty-one million, two hundred twenty-two thousand, one hundred".