122121200222100 has 108 divisors (see below), whose sum is σ = 383469340196124. Its totient is φ = 32507187095040.

The previous prime is 122121200222093. The next prime is 122121200222123. The reversal of 122121200222100 is 1222002121221.

It is a happy number.

122121200222100 is a `hidden beast` number, since 1 + 22 + 121 + 200 + 222 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39669061562244 + 82452138659856 = 6298338^2 + 9080316^2 .

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 35 ways as a sum of consecutive naturals, for example, 121303209 + ... + 122305808.

It is an arithmetic number, because the mean of its divisors is an integer number (3550642038853).

Almost surely, 2^{122121200222100} is an apocalyptic number.

122121200222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121200222100 is an abundant number, since it is smaller than the sum of its proper divisors (261348139974024).

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

122121200222100 is a wasteful number, since it uses less digits than its factorization.

122121200222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243609594 (or 243609584 counting only the distinct ones).

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

Adding to 122121200222100 its reverse (1222002121221), we get a palindrome (123343202343321).

The spelling of 122121200222100 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred million, two hundred twenty-two thousand, one hundred".