122120212110021 has 12 divisors (see below), whose sum is σ = 180698200033260. Its totient is φ = 79427780233920.

The previous prime is 122120212110011. The next prime is 122120212110023. The reversal of 122120212110021 is 120011212021221.

122120212110021 is a `hidden beast` number, since 1 + 221 + 202 + 121 + 100 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12050444390625 + 110069767719396 = 3471375^2 + 10491414^2 .

It is not a de Polignac number, because 122120212110021 - 2⁷ = 122120212109893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122120212109976 and 122120212110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120212110023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165474541786 + ... + 165474542523.

It is an arithmetic number, because the mean of its divisors is an integer number (15058183336105).

Almost surely, 2^{122120212110021} is an apocalyptic number.

It is an amenable number.

122120212110021 is a deficient number, since it is larger than the sum of its proper divisors (58577987923239).

122120212110021 is a wasteful number, since it uses less digits than its factorization.

122120212110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330949084356 (or 330949084353 counting only the distinct ones).

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

Adding to 122120212110021 its reverse (120011212021221), we get a palindrome (242131424131242).

The spelling of 122120212110021 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twelve million, one hundred ten thousand, twenty-one".