100122000021 has 16 divisors (see below), whose sum is σ = 157054118400. Its totient is φ = 62821646784.

The previous prime is 100122000007. The next prime is 100122000029. The reversal of 100122000021 is 120000221001.

It is not a de Polignac number, because 100122000021 - 2⁷ = 100121999893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100121999967 and 100122000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109064901 + ... + 109065818.

It is an arithmetic number, because the mean of its divisors is an integer number (9815882400).

Almost surely, 2^100122000021 is an apocalyptic number.

It is an amenable number.

100122000021 is a deficient number, since it is larger than the sum of its proper divisors (56932118379).

100122000021 is a wasteful number, since it uses less digits than its factorization.

100122000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218130745 (or 218130739 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100122000021 its reverse (120000221001), we get a palindrome (220122221022).

The spelling of 100122000021 in words is "one hundred billion, one hundred twenty-two million, twenty-one", and thus it is an aban number.