102112221201100 has 576 divisors, whose sum is σ = 257948184009600. Its totient is φ = 34743582720000.

The previous prime is 102112221201041. The next prime is 102112221201139. The reversal of 102112221201100 is 1102122211201.

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, 32222220316 + ... + 32222223484.

It is an arithmetic number, because the mean of its divisors is an integer number (447826708350).

Almost surely, 2^{102112221201100} is an apocalyptic number.

102112221201100 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 102112221201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128974092004800).

102112221201100 is an abundant number, since it is smaller than the sum of its proper divisors (155835962808500).

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

102112221201100 is a wasteful number, since it uses less digits than its factorization.

102112221201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102112221201100 its reverse (1102122211201), we get a palindrome (103214343412301).

It can be divided in two parts, 1021122 and 21201100, that added together give a palindrome (22222222).

The spelling of 102112221201100 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty-one million, two hundred one thousand, one hundred".