201023313100 has 72 divisors (see below), whose sum is σ = 450078068160. Its totient is φ = 77893370880.

The previous prime is 201023312911. The next prime is 201023313103. The reversal of 201023313100 is 1313320102.

It is a super-2 number, since 2×201023313100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201023313103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178644 + ... + 658756.

It is an arithmetic number, because the mean of its divisors is an integer number (6251084280).

Almost surely, 2^201023313100 is an apocalyptic number.

201023313100 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 201023313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225039034080).

201023313100 is an abundant number, since it is smaller than the sum of its proper divisors (249054755060).

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

201023313100 is a wasteful number, since it uses less digits than its factorization.

201023313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480259 (or 480252 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 201023313100 its reverse (1313320102), we get a palindrome (202336633202).

The spelling of 201023313100 in words is "two hundred one billion, twenty-three million, three hundred thirteen thousand, one hundred".