102110100001101 has 12 divisors (see below), whose sum is σ = 156168388237212. Its totient is φ = 64069082353536.

The previous prime is 102110100001099. The next prime is 102110100001201. The reversal of 102110100001101 is 101100001011201.

It can be written as a sum of positive squares in 2 ways, for example, as 48373429920201 + 53736670080900 = 6955101^2 + 7330530^2 .

It is not a de Polignac number, because 102110100001101 - 2¹ = 102110100001099 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 (102110100001201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333693137106 + ... + 333693137411.

It is an arithmetic number, because the mean of its divisors is an integer number (13014032353101).

Almost surely, 2^{102110100001101} is an apocalyptic number.

It is an amenable number.

102110100001101 is a deficient number, since it is larger than the sum of its proper divisors (54058288236111).

102110100001101 is a wasteful number, since it uses less digits than its factorization.

102110100001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667386274540 (or 667386274537 counting only the distinct ones).

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

Adding to 102110100001101 its reverse (101100001011201), we get a palindrome (203210101012302).

The spelling of 102110100001101 in words is "one hundred two trillion, one hundred ten billion, one hundred million, one thousand, one hundred one".