201121030133100 has 432 divisors, whose sum is σ = 791693554369536. Its totient is φ = 41486334336000.

The previous prime is 201121030133081. The next prime is 201121030133131. The reversal of 201121030133100 is 1331030121102.

201121030133100 is a `hidden beast` number, since 2 + 0 + 11 + 21 + 0 + 301 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×201121030133100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1097796 + ... + 20085995.

It is an arithmetic number, because the mean of its divisors is an integer number (1832623968448).

Almost surely, 2^{201121030133100} is an apocalyptic number.

201121030133100 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 201121030133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395846777184768).

201121030133100 is an abundant number, since it is smaller than the sum of its proper divisors (590572524236436).

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

201121030133100 is a wasteful number, since it uses less digits than its factorization.

201121030133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21183966 (or 21183956 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201121030133100 its reverse (1331030121102), we get a palindrome (202452060254202).

The spelling of 201121030133100 in words is "two hundred one trillion, one hundred twenty-one billion, thirty million, one hundred thirty-three thousand, one hundred".