112001212102100 has 72 divisors (see below), whose sum is σ = 245597158176888. Its totient is φ = 44330139648000.

The previous prime is 112001212102061. The next prime is 112001212102111. The reversal of 112001212102100 is 1201212100211.

It can be written as a sum of positive squares in 12 ways, for example, as 10881857122756 + 101119354979344 = 3298766^2 + 10055812^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13389524 + ... + 20081876.

Almost surely, 2^{112001212102100} is an apocalyptic number.

112001212102100 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 112001212102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122798579088444).

112001212102100 is an abundant number, since it is smaller than the sum of its proper divisors (133595946074788).

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

112001212102100 is a wasteful number, since it uses less digits than its factorization.

112001212102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694125 (or 6694118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112001212102100 its reverse (1201212100211), we get a palindrome (113202424202311).

The spelling of 112001212102100 in words is "one hundred twelve trillion, one billion, two hundred twelve million, one hundred two thousand, one hundred".