101101020101101 has 32 divisors (see below), whose sum is σ = 103955178096000. Its totient is φ = 98297104020480.

The previous prime is 101101020101069. The next prime is 101101020101129.

101101020101101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101101020101101 - 2⁵ = 101101020101069 is a prime.

It is a super-2 number, since 2×101101020101101² (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 (101101020101701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7538657086 + ... + 7538670496.

It is an arithmetic number, because the mean of its divisors is an integer number (3248599315500).

Almost surely, 2^{101101020101101} is an apocalyptic number.

It is an amenable number.

101101020101101 is a deficient number, since it is larger than the sum of its proper divisors (2854157994899).

101101020101101 is a wasteful number, since it uses less digits than its factorization.

101101020101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18829.

The product of its (nonzero) digits is 2, while the sum is 10.

The spelling of 101101020101101 in words is "one hundred one trillion, one hundred one billion, twenty million, one hundred one thousand, one hundred one".