201101122100 has 18 divisors (see below), whose sum is σ = 436389435174. Its totient is φ = 80440448800.

The previous prime is 201101122099. The next prime is 201101122121. The reversal of 201101122100 is 1221101102.

It can be written as a sum of positive squares in 3 ways, for example, as 5689383184 + 195411738916 = 75428^2 + 442054^2 .

It is a super-2 number, since 2×201101122100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005505511 + ... + 1005505710.

Almost surely, 2^201101122100 is an apocalyptic number.

201101122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101122100 is an abundant number, since it is smaller than the sum of its proper divisors (235288313074).

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

201101122100 is a wasteful number, since it uses less digits than its factorization.

201101122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011011235 (or 2011011228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201101122100 its reverse (1221101102), we get a palindrome (202322223202).

The spelling of 201101122100 in words is "two hundred one billion, one hundred one million, one hundred twenty-two thousand, one hundred".