122101353101221 has 16 divisors (see below), whose sum is σ = 136032665045760. Its totient is φ = 108818720176320.

The previous prime is 122101353101209. The next prime is 122101353101303.

122101353101221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122101353101221 - 2⁴³ = 113305260079013 is a prime.

It is a super-2 number, since 2×122101353101221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101353501221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5599956 + ... + 16600066.

It is an arithmetic number, because the mean of its divisors is an integer number (8502041565360).

Almost surely, 2^{122101353101221} is an apocalyptic number.

It is an amenable number.

122101353101221 is a deficient number, since it is larger than the sum of its proper divisors (13931311944539).

122101353101221 is a wasteful number, since it uses less digits than its factorization.

122101353101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11029596.

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 122101353101221 in words is "one hundred twenty-two trillion, one hundred one billion, three hundred fifty-three million, one hundred one thousand, two hundred twenty-one".