101100010221209 has 32 divisors (see below), whose sum is σ = 107497438139520. Its totient is φ = 94753739788288.

The previous prime is 101100010221187. The next prime is 101100010221247. The reversal of 101100010221209 is 902122010001101.

It is a cyclic number.

It is not a de Polignac number, because 101100010221209 - 2²⁰ = 101100009172633 is a prime.

It is a super-2 number, since 2×101100010221209² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101100010221289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6855624974 + ... + 6855639720.

It is an arithmetic number, because the mean of its divisors is an integer number (3359294941860).

Almost surely, 2^{101100010221209} is an apocalyptic number.

It is an amenable number.

101100010221209 is a deficient number, since it is larger than the sum of its proper divisors (6397427918311).

101100010221209 is a wasteful number, since it uses less digits than its factorization.

101100010221209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17017.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 101100010221209 in words is "one hundred one trillion, one hundred billion, ten million, two hundred twenty-one thousand, two hundred nine".