10102110010101 has 12 divisors (see below), whose sum is σ = 14986313348812. Its totient is φ = 6552720006336.

The previous prime is 10102110010087. The next prime is 10102110010103. The reversal of 10102110010101 is 10101001120101.

10102110010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5541433700625 + 4560676309476 = 2354025^2 + 2135574^2 .

It is not a de Polignac number, because 10102110010101 - 2⁷ = 10102110009973 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102110010103) 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, 15168333016 + ... + 15168333681.

Almost surely, 2^{10102110010101} is an apocalyptic number.

It is an amenable number.

10102110010101 is a deficient number, since it is larger than the sum of its proper divisors (4884203338711).

10102110010101 is a wasteful number, since it uses less digits than its factorization.

10102110010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30336666740 (or 30336666737 counting only the distinct ones).

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

Adding to 10102110010101 its reverse (10101001120101), we get a palindrome (20203111130202).

Subtracting from 10102110010101 its reverse (10101001120101), we obtain a square (1108890000 = 33300²).

The spelling of 10102110010101 in words is "ten trillion, one hundred two billion, one hundred ten million, ten thousand, one hundred one".