122212202120100 has 72 divisors (see below), whose sum is σ = 392889597935520. Its totient is φ = 32589920564640.

The previous prime is 122212202120077. The next prime is 122212202120101. The reversal of 122212202120100 is 1021202212221.

It is a happy number.

122212202120100 is a `hidden beast` number, since 1 + 2 + 221 + 220 + 2 + 120 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122212202120101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22631886582 + ... + 22631891981.

Almost surely, 2^{122212202120100} is an apocalyptic number.

122212202120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212202120100 is an abundant number, since it is smaller than the sum of its proper divisors (270677395815420).

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

122212202120100 is a wasteful number, since it uses less digits than its factorization.

122212202120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45263778586 (or 45263778573 counting only the distinct ones).

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

Adding to 122212202120100 its reverse (1021202212221), we get a palindrome (123233404332321).

The spelling of 122212202120100 in words is "one hundred twenty-two trillion, two hundred twelve billion, two hundred two million, one hundred twenty thousand, one hundred".