201122122022100 has 72 divisors (see below), whose sum is σ = 646570377472320. Its totient is φ = 53632565871840.

The previous prime is 201122122022093. The next prime is 201122122022113. The reversal of 201122122022100 is 1220221221102.

It is a happy number.

201122122022100 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 221 + 220 + 221 + 0 + 0 = 666.

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

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, 37244834712 + ... + 37244840111.

It is an arithmetic number, because the mean of its divisors is an integer number (8980144131560).

Almost surely, 2^{201122122022100} is an apocalyptic number.

201122122022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122122022100 is an abundant number, since it is smaller than the sum of its proper divisors (445448255450220).

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

201122122022100 is a wasteful number, since it uses less digits than its factorization.

201122122022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74489674846 (or 74489674833 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201122122022100 its reverse (1220221221102), we get a palindrome (202342343243202).

The spelling of 201122122022100 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty-two thousand, one hundred".