122000012100221 has 24 divisors (see below), whose sum is σ = 129741052496640. Its totient is φ = 114697413395712.

The previous prime is 122000012100149. The next prime is 122000012100293. The reversal of 122000012100221 is 122001210000221.

It is an interprime number because it is at equal distance from previous prime (122000012100149) and next prime (122000012100293).

It is not a de Polignac number, because 122000012100221 - 2³⁸ = 121725134193277 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122000012100196 and 122000012100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000012130221) 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, 1170694700 + ... + 1170798906.

It is an arithmetic number, because the mean of its divisors is an integer number (5405877187360).

Almost surely, 2^{122000012100221} is an apocalyptic number.

It is an amenable number.

122000012100221 is a deficient number, since it is larger than the sum of its proper divisors (7741040396419).

122000012100221 is a wasteful number, since it uses less digits than its factorization.

122000012100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108653 (or 108636 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122000012100221 its reverse (122001210000221), we get a palindrome (244001222100442).

The spelling of 122000012100221 in words is "one hundred twenty-two trillion, twelve million, one hundred thousand, two hundred twenty-one".