122011112000221 has 16 divisors (see below), whose sum is σ = 124949975846400. Its totient is φ = 119107242004608.

The previous prime is 122011112000203. The next prime is 122011112000233. The reversal of 122011112000221 is 122000211110221.

It is a cyclic number.

It is not a de Polignac number, because 122011112000221 - 2³⁹ = 121461356186333 is a prime.

It is a super-2 number, since 2×122011112000221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122011112000195 and 122011112000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011112007221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145877011 + ... + 146711023.

It is an arithmetic number, because the mean of its divisors is an integer number (7809373490400).

Almost surely, 2^{122011112000221} is an apocalyptic number.

It is an amenable number.

122011112000221 is a deficient number, since it is larger than the sum of its proper divisors (2938863846179).

122011112000221 is an equidigital number, since it uses as much as digits as its factorization.

122011112000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854988.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122011112000221 its reverse (122000211110221), we get a palindrome (244011323110442).

The spelling of 122011112000221 in words is "one hundred twenty-two trillion, eleven billion, one hundred twelve million, two hundred twenty-one", and thus it is an aban number.