101001222100101 has 24 divisors (see below), whose sum is σ = 136024881748672. Its totient is φ = 66662554896000.

The previous prime is 101001222100073. The next prime is 101001222100139.

101001222100101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101001222100101 - 2¹⁰ = 101001222099077 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 (101001222100601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440782881 + ... + 441011961.

Almost surely, 2^{101001222100101} is an apocalyptic number.

It is an amenable number.

101001222100101 is a deficient number, since it is larger than the sum of its proper divisors (35023659648571).

101001222100101 is a wasteful number, since it uses less digits than its factorization.

101001222100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243693 (or 243592 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 101001222100101 in words is "one hundred one trillion, one billion, two hundred twenty-two million, one hundred thousand, one hundred one".