201122100101100 has 72 divisors (see below), whose sum is σ = 581921936709568. Its totient is φ = 53631761832000.

The previous prime is 201122100101029. The next prime is 201122100101189. The reversal of 201122100101100 is 1101001221102.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 15340407 + ... + 25250193.

Almost surely, 2^{201122100101100} is an apocalyptic number.

201122100101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122100101100 is an abundant number, since it is smaller than the sum of its proper divisors (380799836608468).

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

201122100101100 is a wasteful number, since it uses less digits than its factorization.

201122100101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9977455 (or 9977448 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201122100101100 its reverse (1101001221102), we get a palindrome (202223101322202).

The spelling of 201122100101100 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred million, one hundred one thousand, one hundred".