101220122101121 has 16 divisors (see below), whose sum is σ = 106416172130688. Its totient is φ = 96187456713600.

The previous prime is 101220122101099. The next prime is 101220122101127. The reversal of 101220122101121 is 121101221022101.

It is not a de Polignac number, because 101220122101121 - 2¹⁴ = 101220122084737 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101220122101121.

It is not an unprimeable number, because it can be changed into a prime (101220122101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209225846 + ... + 209709071.

It is an arithmetic number, because the mean of its divisors is an integer number (6651010758168).

Almost surely, 2^{101220122101121} is an apocalyptic number.

It is an amenable number.

101220122101121 is a deficient number, since it is larger than the sum of its proper divisors (5196050029567).

101220122101121 is an equidigital number, since it uses as much as digits as its factorization.

101220122101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418935112.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101220122101121 its reverse (121101221022101), we get a palindrome (222321343123222).

The spelling of 101220122101121 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".