122221022012100 has 216 divisors, whose sum is σ = 418720925374752. Its totient is φ = 29572684761600.

The previous prime is 122221022012087. The next prime is 122221022012107. The reversal of 122221022012100 is 1210220122221.

It is a happy number.

122221022012100 is a `hidden beast` number, since 1 + 2 + 22 + 210 + 220 + 1 + 210 + 0 = 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 (122221022012107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6624937 + ... + 16980336.

Almost surely, 2^{122221022012100} is an apocalyptic number.

122221022012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221022012100 is an abundant number, since it is smaller than the sum of its proper divisors (296499903362652).

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

122221022012100 is a wasteful number, since it uses less digits than its factorization.

122221022012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23605827 (or 23605817 counting only the distinct ones).

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

Adding to 122221022012100 its reverse (1210220122221), we get a palindrome (123431242134321).

The spelling of 122221022012100 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, twenty-two million, twelve thousand, one hundred".