122210121012221 has 12 divisors (see below), whose sum is σ = 134435160652800. Its totient is φ = 111013245046440.

The previous prime is 122210121012037. The next prime is 122210121012227.

122210121012221 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-122210121012221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122210121012193 and 122210121012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210121012227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394685351 + ... + 394994868.

It is an arithmetic number, because the mean of its divisors is an integer number (11202930054400).

Almost surely, 2^{122210121012221} is an apocalyptic number.

122210121012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122210121012221 is a deficient number, since it is larger than the sum of its proper divisors (12225039640579).

122210121012221 is a wasteful number, since it uses less digits than its factorization.

122210121012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789681520 (or 789681509 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 122210121012221 in words is "one hundred twenty-two trillion, two hundred ten billion, one hundred twenty-one million, twelve thousand, two hundred twenty-one".