101022111109 has 8 divisors (see below), whose sum is σ = 101731273560. Its totient is φ = 100313780736.

The previous prime is 101022111067. The next prime is 101022111137. The reversal of 101022111109 is 901111220101.

It can be written as a sum of positive squares in 4 ways, for example, as 3101933025 + 97920178084 = 55695^2 + 312922^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101022111109 - 2¹³ = 101022102917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022111209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36657 + ... + 450985.

It is an arithmetic number, because the mean of its divisors is an integer number (12716409195).

Almost surely, 2^101022111109 is an apocalyptic number.

It is an amenable number.

101022111109 is a deficient number, since it is larger than the sum of its proper divisors (709162451).

101022111109 is a wasteful number, since it uses less digits than its factorization.

101022111109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416039.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 101022111109 in words is "one hundred one billion, twenty-two million, one hundred eleven thousand, one hundred nine".