221101122100121 has 16 divisors (see below), whose sum is σ = 226700530668480. Its totient is φ = 215573589760320.

The previous prime is 221101122100087. The next prime is 221101122100123. The reversal of 221101122100121 is 121001221101122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221101122100121 is a prime.

It is a super-2 number, since 2×221101122100121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221101122100121.

It is not an unprimeable number, because it can be changed into a prime (221101122100123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9214691 + ... + 22958936.

It is an arithmetic number, because the mean of its divisors is an integer number (14168783166780).

Almost surely, 2^{221101122100121} is an apocalyptic number.

It is an amenable number.

221101122100121 is a deficient number, since it is larger than the sum of its proper divisors (5599408568359).

221101122100121 is a wasteful number, since it uses less digits than its factorization.

221101122100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32174744.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221101122100121 its reverse (121001221101122), we get a palindrome (342102343201243).

The spelling of 221101122100121 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred twenty-two million, one hundred thousand, one hundred twenty-one".