100121221121 has 8 divisors (see below), whose sum is σ = 102233577864. Its totient is φ = 98028887040.

The previous prime is 100121221099. The next prime is 100121221147. The reversal of 100121221121 is 121122121001.

It can be written as a sum of positive squares in 4 ways, for example, as 57354981121 + 42766240000 = 239489^2 + 206800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100121221121 - 2³⁴ = 82941351937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121221096 and 100121221105.

It is not an unprimeable number, because it can be changed into a prime (100129221121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4995560 + ... + 5015561.

It is an arithmetic number, because the mean of its divisors is an integer number (12779197233).

Almost surely, 2^100121221121 is an apocalyptic number.

It is an amenable number.

100121221121 is a deficient number, since it is larger than the sum of its proper divisors (2112356743).

100121221121 is a wasteful number, since it uses less digits than its factorization.

100121221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011331.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100121221121 its reverse (121122121001), we get a palindrome (221243342122).

The spelling of 100121221121 in words is "one hundred billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".