122001121100221 has 24 divisors (see below), whose sum is σ = 139696191219200. Its totient is φ = 106347663655200.

The previous prime is 122001121100191. The next prime is 122001121100231.

122001121100221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122001121100221 - 2¹³ = 122001121092029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122001121100195 and 122001121100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001121100231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148788201 + ... + 149605918.

Almost surely, 2^{122001121100221} is an apocalyptic number.

122001121100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122001121100221 is a deficient number, since it is larger than the sum of its proper divisors (17695070118979).

122001121100221 is a wasteful number, since it uses less digits than its factorization.

122001121100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298394281 (or 298394270 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 122001121100221 in words is "one hundred twenty-two trillion, one billion, one hundred twenty-one million, one hundred thousand, two hundred twenty-one".