122102201221 has 32 divisors (see below), whose sum is σ = 165296468736. Its totient is φ = 87825672000.

The previous prime is 122102201219. The next prime is 122102201251.

It is a happy number.

122102201221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122102201221 - 2¹ = 122102201219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122102201195 and 122102201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102201251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382930 + ... + 625171.

It is an arithmetic number, because the mean of its divisors is an integer number (5165514648).

Almost surely, 2^122102201221 is an apocalyptic number.

122102201221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122102201221 is a deficient number, since it is larger than the sum of its proper divisors (43194267515).

122102201221 is a wasteful number, since it uses less digits than its factorization.

122102201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008154 (or 1008132 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, 122102 and 201221, that added together give a palindrome (323323).

The spelling of 122102201221 in words is "one hundred twenty-two billion, one hundred two million, two hundred one thousand, two hundred twenty-one".