122122210110021 has 48 divisors (see below), whose sum is σ = 199196450069760. Its totient is φ = 71416126776960.

The previous prime is 122122210110007. The next prime is 122122210110091. The reversal of 122122210110021 is 120011012221221.

122122210110021 is a `hidden beast` number, since 1 + 221 + 222 + 101 + 100 + 21 = 666.

It is not a de Polignac number, because 122122210110021 - 2⁶ = 122122210109957 is a prime.

It is a super-2 number, since 2×122122210110021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122122210109976 and 122122210110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122210110091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8890606 + ... + 17980191.

It is an arithmetic number, because the mean of its divisors is an integer number (4149926043120).

Almost surely, 2^{122122210110021} is an apocalyptic number.

122122210110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122122210110021 is a deficient number, since it is larger than the sum of its proper divisors (77074239959739).

122122210110021 is a wasteful number, since it uses less digits than its factorization.

122122210110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26872426 (or 26872423 counting only the distinct ones).

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

Adding to 122122210110021 its reverse (120011012221221), we get a palindrome (242133222331242).

The spelling of 122122210110021 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred ten million, one hundred ten thousand, twenty-one".