201101012112120 has 64 divisors (see below), whose sum is σ = 603306019873440. Its totient is φ = 53626671360000.

The previous prime is 201101012112109. The next prime is 201101012112139. The reversal of 201101012112120 is 21211210101102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201101012112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20848020 + ... + 28928220.

Almost surely, 2^{201101012112120} is an apocalyptic number.

201101012112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101012112120 is an abundant number, since it is smaller than the sum of its proper divisors (402205007761320).

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

201101012112120 is a wasteful number, since it uses less digits than its factorization.

201101012112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8287616 (or 8287612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201101012112120 its reverse (21211210101102), we get a palindrome (222312222213222).

The spelling of 201101012112120 in words is "two hundred one trillion, one hundred one billion, twelve million, one hundred twelve thousand, one hundred twenty".