101110210002101 has 16 divisors (see below), whose sum is σ = 104314081945920. Its totient is φ = 97947878313600.

The previous prime is 101110210002091. The next prime is 101110210002161. The reversal of 101110210002101 is 101200012011101.

It is not a de Polignac number, because 101110210002101 - 2³⁴ = 101093030132917 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 (101110210002161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13573475 + ... + 19658576.

It is an arithmetic number, because the mean of its divisors is an integer number (6519630121620).

Almost surely, 2^{101110210002101} is an apocalyptic number.

It is an amenable number.

101110210002101 is a deficient number, since it is larger than the sum of its proper divisors (3203871943819).

101110210002101 is a wasteful number, since it uses less digits than its factorization.

101110210002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33232676.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101110210002101 its reverse (101200012011101), we get a palindrome (202310222013202).

The spelling of 101110210002101 in words is "one hundred one trillion, one hundred ten billion, two hundred ten million, two thousand, one hundred one".