100122322121 has 16 divisors (see below), whose sum is σ = 102581676288. Its totient is φ = 97697241600.

The previous prime is 100122322117. The next prime is 100122322133. The reversal of 100122322121 is 121223221001.

It is a cyclic number.

It is not a de Polignac number, because 100122322121 - 2² = 100122322117 is a prime.

It is a super-3 number, since 3×100122322121³ (a number of 34 digits) contains 333 as substring.

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 100122322121.

It is not an unprimeable number, because it can be changed into a prime (100122322141) 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, 2744561 + ... + 2780801.

It is an arithmetic number, because the mean of its divisors is an integer number (6411354768).

Almost surely, 2^100122322121 is an apocalyptic number.

It is an amenable number.

100122322121 is a deficient number, since it is larger than the sum of its proper divisors (2459354167).

100122322121 is a wasteful number, since it uses less digits than its factorization.

100122322121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36712.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100122322121 its reverse (121223221001), we get a palindrome (221345543122).

The spelling of 100122322121 in words is "one hundred billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred twenty-one".