100122010209 has 48 divisors (see below), whose sum is σ = 159782837760. Its totient is φ = 60020801280.

The previous prime is 100122010193. The next prime is 100122010211. The reversal of 100122010209 is 902010221001.

It is not a de Polignac number, because 100122010209 - 2⁴ = 100122010193 is a prime.

It is a super-2 number, since 2×100122010209² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100122010191 and 100122010200.

It is not an unprimeable number, because it can be changed into a prime (100122010259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3261072 + ... + 3291630.

It is an arithmetic number, because the mean of its divisors is an integer number (3328809120).

Almost surely, 2^100122010209 is an apocalyptic number.

It is an amenable number.

100122010209 is a deficient number, since it is larger than the sum of its proper divisors (59660827551).

100122010209 is a wasteful number, since it uses less digits than its factorization.

100122010209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31302 (or 31299 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 100122010209 in words is "one hundred billion, one hundred twenty-two million, ten thousand, two hundred nine".