101000121000101 has 8 divisors (see below), whose sum is σ = 103170770993664. Its totient is φ = 98830375642000.

The previous prime is 101000120999951. The next prime is 101000121000139.

It is a happy number.

101000121000101 is nontrivially palindromic in base 10.

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 101000121000101 - 2¹⁴ = 101000120983717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000121000601) 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, 225933170 + ... + 226379763.

It is an arithmetic number, because the mean of its divisors is an integer number (12896346374208).

Almost surely, 2^{101000121000101} is an apocalyptic number.

It is an amenable number.

101000121000101 is a deficient number, since it is larger than the sum of its proper divisors (2170649993563).

101000121000101 is an equidigital number, since it uses as much as digits as its factorization.

101000121000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452317731.

The product of its (nonzero) digits is 2, while the sum is 8.

The spelling of 101000121000101 in words is "one hundred one trillion, one hundred twenty-one million, one hundred one", and thus it is an aban number.