101122012121009 has 8 divisors (see below), whose sum is σ = 116804035391328. Its totient is φ = 86521507696960.

The previous prime is 101122012120979. The next prime is 101122012121021. The reversal of 101122012121009 is 900121210221101.

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 a de Polignac number, because none of the positive numbers 2^k-101122012121009 is a prime.

It is a super-2 number, since 2×101122012121009² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122012121069) 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, 270379711367 + ... + 270379711740.

It is an arithmetic number, because the mean of its divisors is an integer number (14600504423916).

Almost surely, 2^{101122012121009} is an apocalyptic number.

It is an amenable number.

101122012121009 is a deficient number, since it is larger than the sum of its proper divisors (15682023270319).

101122012121009 is a wasteful number, since it uses less digits than its factorization.

101122012121009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540759423135.

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

The spelling of 101122012121009 in words is "one hundred one trillion, one hundred twenty-two billion, twelve million, one hundred twenty-one thousand, nine".