122210202122100 has 144 divisors (see below), whose sum is σ = 394598817323200. Its totient is φ = 32447075333760.

The previous prime is 122210202122093. The next prime is 122210202122117. The reversal of 122210202122100 is 1221202012221.

It is a happy number.

122210202122100 is a `hidden beast` number, since 1 + 2 + 221 + 0 + 20 + 212 + 210 + 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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98209294 + ... + 99445893.

Almost surely, 2^{122210202122100} is an apocalyptic number.

122210202122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122210202122100 is an abundant number, since it is smaller than the sum of its proper divisors (272388615201100).

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

122210202122100 is a wasteful number, since it uses less digits than its factorization.

122210202122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197655439 (or 197655426 counting only the distinct ones).

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

Adding to 122210202122100 its reverse (1221202012221), we get a palindrome (123431404134321).

The spelling of 122210202122100 in words is "one hundred twenty-two trillion, two hundred ten billion, two hundred two million, one hundred twenty-two thousand, one hundred".