201123300100 has 72 divisors (see below), whose sum is σ = 449020476128. Its totient is φ = 78162796800.

The previous prime is 201123300083. The next prime is 201123300113. The reversal of 201123300100 is 1003321102.

It is a super-2 number, since 2×201123300100² (a number of 23 digits) contains 22 as substring.

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, 283495 + ... + 694705.

Almost surely, 2^201123300100 is an apocalyptic number.

201123300100 is a gapful number since it is divisible by the number (20) 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 201123300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224510238064).

201123300100 is an abundant number, since it is smaller than the sum of its proper divisors (247897176028).

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

201123300100 is a wasteful number, since it uses less digits than its factorization.

201123300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411365 (or 411358 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 201123300100 its reverse (1003321102), we get a palindrome (202126621202).

The spelling of 201123300100 in words is "two hundred one billion, one hundred twenty-three million, three hundred thousand, one hundred".