101022109 has 8 divisors (see below), whose sum is σ = 110653560. Its totient is φ = 91800576.

The previous prime is 101022083. The next prime is 101022169. The reversal of 101022109 is 901220101.

It can be written as a sum of positive squares in 4 ways, for example, as 36942084 + 64080025 = 6078^2 + 8005^2 .

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 101022109 - 2⁷ = 101021981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101022092 and 101022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101964 + ... + 102949.

It is an arithmetic number, because the mean of its divisors is an integer number (13831695).

Almost surely, 2^101022109 is an apocalyptic number.

It is an amenable number.

101022109 is a deficient number, since it is larger than the sum of its proper divisors (9631451).

101022109 is a wasteful number, since it uses less digits than its factorization.

101022109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204959.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 101022109 is about 10050.9755247936. The cubic root of 101022109 is about 465.7349291009.

The spelling of 101022109 in words is "one hundred one million, twenty-two thousand, one hundred nine".