101121121121101 has 8 divisors (see below), whose sum is σ = 101214843537920. Its totient is φ = 101027399983488.

The previous prime is 101121121121039. The next prime is 101121121121107.

101121121121101 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 101121121121101 - 2²⁵ = 101121087566669 is a prime.

It is a super-2 number, since 2×101121121121101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121121121107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244291030 + ... + 244704616.

It is an arithmetic number, because the mean of its divisors is an integer number (12651855442240).

Almost surely, 2^{101121121121101} is an apocalyptic number.

It is an amenable number.

101121121121101 is a deficient number, since it is larger than the sum of its proper divisors (93722416819).

101121121121101 is a wasteful number, since it uses less digits than its factorization.

101121121121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639603.

The product of its (nonzero) digits is 8, while the sum is 16.

The spelling of 101121121121101 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred one".