201123130100 has 72 divisors (see below), whose sum is σ = 459733075200. Its totient is φ = 76161081600.

The previous prime is 201123130007. The next prime is 201123130123. The reversal of 201123130100 is 1031321102.

It is a super-2 number, since 2×201123130100² (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 23 ways as a sum of consecutive naturals, for example, 2697320 + ... + 2770880.

It is an arithmetic number, because the mean of its divisors is an integer number (6385181600).

Almost surely, 2^201123130100 is an apocalyptic number.

201123130100 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 201123130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229866537600).

201123130100 is an abundant number, since it is smaller than the sum of its proper divisors (258609945100).

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

201123130100 is a wasteful number, since it uses less digits than its factorization.

201123130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75033 (or 75026 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 201123130100 its reverse (1031321102), we get a palindrome (202154451202).

The spelling of 201123130100 in words is "two hundred one billion, one hundred twenty-three million, one hundred thirty thousand, one hundred".