122201111002100 has 72 divisors (see below), whose sum is σ = 297990883196160. Its totient is φ = 43158653239680.

The previous prime is 122201111001989. The next prime is 122201111002133. The reversal of 122201111002100 is 1200111102221.

It is a super-2 number, since 2×122201111002100² (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2043466940 + ... + 2043526739.

Almost surely, 2^{122201111002100} is an apocalyptic number.

122201111002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201111002100 is an abundant number, since it is smaller than the sum of its proper divisors (175789772194060).

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

122201111002100 is a wasteful number, since it uses less digits than its factorization.

122201111002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086993729 (or 4086993722 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122201111002100 its reverse (1200111102221), we get a palindrome (123401222104321).

The spelling of 122201111002100 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred eleven million, two thousand, one hundred".