201102010111112 has 128 divisors (see below), whose sum is σ = 437092704921600. Its totient is φ = 85726782182400.

The previous prime is 201102010111073. The next prime is 201102010111133. The reversal of 201102010111112 is 211111010201102.

It is a super-3 number, since 3×201102010111112³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1378480589 + ... + 1378626467.

It is an arithmetic number, because the mean of its divisors is an integer number (3414786757200).

Almost surely, 2^{201102010111112} is an apocalyptic number.

201102010111112 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 201102010111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218546352460800).

201102010111112 is an abundant number, since it is smaller than the sum of its proper divisors (235990694810488).

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

201102010111112 is a wasteful number, since it uses less digits than its factorization.

201102010111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149187 (or 149183 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 201102010111112 its reverse (211111010201102), we get a palindrome (412213020312214).

The spelling of 201102010111112 in words is "two hundred one trillion, one hundred two billion, ten million, one hundred eleven thousand, one hundred twelve".