122210012221 has 16 divisors (see below), whose sum is σ = 135752890176. Its totient is φ = 109999890000.

The previous prime is 122210012189. The next prime is 122210012251.

It is a happy number.

122210012221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122210012221 - 2⁵ = 122210012189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122210012195 and 122210012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210012251) 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, 320115 + ... + 588976.

It is an arithmetic number, because the mean of its divisors is an integer number (8484555636).

Almost surely, 2^122210012221 is an apocalyptic number.

122210012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122210012221 is a deficient number, since it is larger than the sum of its proper divisors (13542877955).

122210012221 is an equidigital number, since it uses as much as digits as its factorization.

122210012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909225 (or 909203 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 1222100 and 12221, that multiplied together give a square (14935284100 = 122210²).

The spelling of 122210012221 in words is "one hundred twenty-two billion, two hundred ten million, twelve thousand, two hundred twenty-one".