101011222110101 has 8 divisors (see below), whose sum is σ = 104383689811104. Its totient is φ = 97685271205200.

The previous prime is 101011222110079. The next prime is 101011222110143.

101011222110101 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 101011222110101 - 2³⁰ = 101010148368277 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 (101011222100101) 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, 11629194611 + ... + 11629203296.

It is an arithmetic number, because the mean of its divisors is an integer number (13047961226388).

Almost surely, 2^{101011222110101} is an apocalyptic number.

It is an amenable number.

101011222110101 is a deficient number, since it is larger than the sum of its proper divisors (3372467701003).

101011222110101 is a wasteful number, since it uses less digits than its factorization.

101011222110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23258398051.

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 101011222110101 in words is "one hundred one trillion, eleven billion, two hundred twenty-two million, one hundred ten thousand, one hundred one".