122200222022100 has 108 divisors (see below), whose sum is σ = 393381964080924. Its totient is φ = 31706003543040.

The previous prime is 122200222022083. The next prime is 122200222022111. The reversal of 122200222022100 is 1220222002221.

122200222022100 is a `hidden beast` number, since 1 + 2 + 220 + 0 + 2 + 220 + 221 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 379687651344 + 121820534370756 = 616188^2 + 11037234^2 .

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, 1834804869 + ... + 1834871468.

Almost surely, 2^{122200222022100} is an apocalyptic number.

122200222022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200222022100 is an abundant number, since it is smaller than the sum of its proper divisors (271181742058824).

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

122200222022100 is a wasteful number, since it uses less digits than its factorization.

122200222022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669676394 (or 3669676384 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122200222022100 its reverse (1220222002221), we get a palindrome (123420444024321).

The spelling of 122200222022100 in words is "one hundred twenty-two trillion, two hundred billion, two hundred twenty-two million, twenty-two thousand, one hundred".