101100112122209 has 8 divisors (see below), whose sum is σ = 102070476060000. Its totient is φ = 100133219970432.

The previous prime is 101100112122187. The next prime is 101100112122221. The reversal of 101100112122209 is 902221211001101.

It is a happy number.

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 101100112122209 - 2³⁶ = 101031392645473 is a prime.

It is a super-3 number, since 3×101100112122209³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100112122109) 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, 867887984 + ... + 868004465.

It is an arithmetic number, because the mean of its divisors is an integer number (12758809507500).

Almost surely, 2^{101100112122209} is an apocalyptic number.

It is an amenable number.

101100112122209 is a deficient number, since it is larger than the sum of its proper divisors (970363937791).

101100112122209 is a wasteful number, since it uses less digits than its factorization.

101100112122209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735893007.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 101100112122209 in words is "one hundred one trillion, one hundred billion, one hundred twelve million, one hundred twenty-two thousand, two hundred nine".