122020121020221 has 6 divisors (see below), whose sum is σ = 176251285918110. Its totient is φ = 81346747346808.

The previous prime is 122020121020183. The next prime is 122020121020229.

It is a happy number.

122020121020221 is a `hidden beast` number, since 1 + 220 + 201 + 2 + 1 + 0 + 20 + 221 = 666.

122020121020221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 116007763076100 + 6012357944121 = 10770690^2 + 2452011^2 .

It is not a de Polignac number, because 122020121020221 - 2⁶ = 122020121020157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122020121020194 and 122020121020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020121020229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6778895612226 + ... + 6778895612243.

It is an arithmetic number, because the mean of its divisors is an integer number (29375214319685).

Almost surely, 2^{122020121020221} is an apocalyptic number.

It is an amenable number.

122020121020221 is a deficient number, since it is larger than the sum of its proper divisors (54231164897889).

122020121020221 is a wasteful number, since it uses less digits than its factorization.

122020121020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13557791224475 (or 13557791224472 counting only the distinct ones).

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

The spelling of 122020121020221 in words is "one hundred twenty-two trillion, twenty billion, one hundred twenty-one million, twenty thousand, two hundred twenty-one".