122120101021221 has 96 divisors (see below), whose sum is σ = 195732499248000. Its totient is φ = 73054151299584.

The previous prime is 122120101021187. The next prime is 122120101021231.

122120101021221 is a `hidden beast` number, since 1 + 221 + 201 + 0 + 1 + 0 + 21 + 221 = 666.

122120101021221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122120101021221 - 2⁶ = 122120101021157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122120101021194 and 122120101021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120101021231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2322575910 + ... + 2322628488.

It is an arithmetic number, because the mean of its divisors is an integer number (2038880200500).

Almost surely, 2^{122120101021221} is an apocalyptic number.

It is an amenable number.

122120101021221 is a deficient number, since it is larger than the sum of its proper divisors (73612398226779).

122120101021221 is a wasteful number, since it uses less digits than its factorization.

122120101021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61523 (or 61520 counting only the distinct ones).

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

It can be divided in two parts, 12212010 and 1021221, that added together give a palindrome (13233231).

The spelling of 122120101021221 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred one million, twenty-one thousand, two hundred twenty-one".