122100221212101 has 40 divisors (see below), whose sum is σ = 210682734666624. Its totient is φ = 69647184996480.

The previous prime is 122100221212043. The next prime is 122100221212103. The reversal of 122100221212101 is 101212122001221.

122100221212101 is a `hidden beast` number, since 1 + 2 + 210 + 0 + 221 + 21 + 210 + 1 = 666.

It is not a de Polignac number, because 122100221212101 - 2²¹ = 122100219114949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100221212103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4030493245 + ... + 4030523538.

Almost surely, 2^{122100221212101} is an apocalyptic number.

122100221212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100221212101 is a deficient number, since it is larger than the sum of its proper divisors (88582513454523).

122100221212101 is a wasteful number, since it uses less digits than its factorization.

122100221212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8061016823 (or 8061016814 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122100221212101 its reverse (101212122001221), we get a palindrome (223312343213322).

The spelling of 122100221212101 in words is "one hundred twenty-two trillion, one hundred billion, two hundred twenty-one million, two hundred twelve thousand, one hundred one".