101102110000101 has 36 divisors (see below), whose sum is σ = 169885603397484. Its totient is φ = 57770407497600.

The previous prime is 101102110000091. The next prime is 101102110000139. The reversal of 101102110000101 is 101000011201101.

It can be written as a sum of positive squares in 2 ways, for example, as 99228493822500 + 1873616177601 = 9961350^2 + 1368801^2 .

It is not a de Polignac number, because 101102110000101 - 2⁶ = 101102110000037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102110000141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7070041 + ... + 15880481.

It is an arithmetic number, because the mean of its divisors is an integer number (4719044538819).

Almost surely, 2^{101102110000101} is an apocalyptic number.

It is an amenable number.

101102110000101 is a deficient number, since it is larger than the sum of its proper divisors (68783493397383).

101102110000101 is a wasteful number, since it uses less digits than its factorization.

101102110000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8836482 (or 8836472 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101102110000101 its reverse (101000011201101), we get a palindrome (202102121201202).

The spelling of 101102110000101 in words is "one hundred one trillion, one hundred two billion, one hundred ten million, one hundred one", and thus it is an aban number.