101121110003101 has 8 divisors (see below), whose sum is σ = 103589268721344. Its totient is φ = 98653036531680.

The previous prime is 101121110003071. The next prime is 101121110003117. The reversal of 101121110003101 is 101300011121101.

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 101121110003101 - 2²⁷ = 101120975785373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121110006101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18907051 + ... + 23658376.

It is an arithmetic number, because the mean of its divisors is an integer number (12948658590168).

Almost surely, 2^{101121110003101} is an apocalyptic number.

It is an amenable number.

101121110003101 is a deficient number, since it is larger than the sum of its proper divisors (2468158718243).

101121110003101 is an equidigital number, since it uses as much as digits as its factorization.

101121110003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42623411.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 101121110003101 its reverse (101300011121101), we get a palindrome (202421121124202).

The spelling of 101121110003101 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred ten million, three thousand, one hundred one".