101200022109 has 40 divisors (see below), whose sum is σ = 161718407928. Its totient is φ = 62843351040.

The previous prime is 101200022101. The next prime is 101200022123. The reversal of 101200022109 is 901220002101.

It can be written as a sum of positive squares in 4 ways, for example, as 57131516484 + 44068505625 = 239022^2 + 209925^2 .

It is not a de Polignac number, because 101200022109 - 2³ = 101200022101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200022091 and 101200022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200022101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245262 + ... + 512399.

Almost surely, 2^101200022109 is an apocalyptic number.

It is an amenable number.

101200022109 is a deficient number, since it is larger than the sum of its proper divisors (60518385819).

101200022109 is an equidigital number, since it uses as much as digits as its factorization.

101200022109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757787 (or 757778 counting only the distinct ones).

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

The spelling of 101200022109 in words is "one hundred one billion, two hundred million, twenty-two thousand, one hundred nine".