101000000121001 has 8 divisors (see below), whose sum is σ = 105693285297600. Its totient is φ = 96331880013072.

The previous prime is 101000000120983. The next prime is 101000000121011. The reversal of 101000000121001 is 100121000000101.

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

It is not a de Polignac number, because 101000000121001 - 2²⁹ = 100999463250089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000000121011) 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, 6291258955 + ... + 6291275008.

It is an arithmetic number, because the mean of its divisors is an integer number (13211660662200).

Almost surely, 2^{101000000121001} is an apocalyptic number.

It is an amenable number.

101000000121001 is a deficient number, since it is larger than the sum of its proper divisors (4693285176599).

101000000121001 is a wasteful number, since it uses less digits than its factorization.

101000000121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12582534335.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101000000121001 its reverse (100121000000101), we get a palindrome (201121000121102).

The spelling of 101000000121001 in words is "one hundred one trillion, one hundred twenty-one thousand, one".