201122021100100 has 144 divisors (see below), whose sum is σ = 461154076750080. Its totient is φ = 76011544627200.

The previous prime is 201122021100097. The next prime is 201122021100113. The reversal of 201122021100100 is 1001120221102.

It is a super-2 number, since 2×201122021100100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023105820 + ... + 1023302380.

It is an arithmetic number, because the mean of its divisors is an integer number (3202458866320).

Almost surely, 2^{201122021100100} is an apocalyptic number.

201122021100100 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 201122021100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230577038375040).

201122021100100 is an abundant number, since it is smaller than the sum of its proper divisors (260032055649980).

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

201122021100100 is a wasteful number, since it uses less digits than its factorization.

201122021100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204158 (or 204151 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201122021100100 its reverse (1001120221102), we get a palindrome (202123141321202).

The spelling of 201122021100100 in words is "two hundred one trillion, one hundred twenty-two billion, twenty-one million, one hundred thousand, one hundred".