201102110112112 has 160 divisors (see below), whose sum is σ = 449599661280000. Its totient is φ = 86179067320320.

The previous prime is 201102110112061. The next prime is 201102110112139. The reversal of 201102110112112 is 211211011201102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1607301268 + ... + 1607426380.

It is an arithmetic number, because the mean of its divisors is an integer number (2809997883000).

Almost surely, 2^{201102110112112} is an apocalyptic number.

201102110112112 is a gapful number since it is divisible by the number (22) 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 201102110112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224799830640000).

201102110112112 is an abundant number, since it is smaller than the sum of its proper divisors (248497551167888).

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

201102110112112 is a wasteful number, since it uses less digits than its factorization.

201102110112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127479 (or 127473 counting only the distinct ones).

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

Adding to 201102110112112 its reverse (211211011201102), we get a palindrome (412313121313214).

The spelling of 201102110112112 in words is "two hundred one trillion, one hundred two billion, one hundred ten million, one hundred twelve thousand, one hundred twelve".