100211120209 has 48 divisors (see below), whose sum is σ = 110412662976. Its totient is φ = 90889344000.

The previous prime is 100211120203. The next prime is 100211120239. The reversal of 100211120209 is 902021112001.

It is a happy number.

It is not a de Polignac number, because 100211120209 - 2⁷ = 100211120081 is a prime.

It is a super-2 number, since 2×100211120209² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100211120203) 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, 326420434 + ... + 326420740.

It is an arithmetic number, because the mean of its divisors is an integer number (2300263812).

Almost surely, 2^100211120209 is an apocalyptic number.

It is an amenable number.

100211120209 is a deficient number, since it is larger than the sum of its proper divisors (10201542767).

100211120209 is a wasteful number, since it uses less digits than its factorization.

100211120209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 100211120209 in words is "one hundred billion, two hundred eleven million, one hundred twenty thousand, two hundred nine".