201101122022112 has 144 divisors (see below), whose sum is σ = 630194795678448. Its totient is φ = 60438262026240.

The previous prime is 201101122022107. The next prime is 201101122022113. The reversal of 201101122022112 is 211220221101102.

201101122022112 is a `hidden beast` number, since 201 + 1 + 0 + 11 + 220 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×201101122022112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101122022113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624407689 + ... + 624729672.

It is an arithmetic number, because the mean of its divisors is an integer number (4376352747767).

Almost surely, 2^{201101122022112} is an apocalyptic number.

It is an amenable number.

201101122022112 is an abundant number, since it is smaller than the sum of its proper divisors (429093673656336).

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

201101122022112 is a wasteful number, since it uses less digits than its factorization.

201101122022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249137433 (or 1249137422 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201101122022112 its reverse (211220221101102), we get a palindrome (412321343123214).

The spelling of 201101122022112 in words is "two hundred one trillion, one hundred one billion, one hundred twenty-two million, twenty-two thousand, one hundred twelve".