10102101111 has 16 divisors (see below), whose sum is σ = 14971538400. Its totient is φ = 6732275904.

The previous prime is 10102101059. The next prime is 10102101167. The reversal of 10102101111 is 11110120101.

10102101111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10102101111 - 2¹⁰ = 10102100087 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10102101093 and 10102101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8635 + ... + 142403.

It is an arithmetic number, because the mean of its divisors is an integer number (935721150).

Almost surely, 2^10102101111 is an apocalyptic number.

10102101111 is a deficient number, since it is larger than the sum of its proper divisors (4869437289).

10102101111 is a wasteful number, since it uses less digits than its factorization.

10102101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136575 (or 136569 counting only the distinct ones).

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

Adding to 10102101111 its reverse (11110120101), we get a palindrome (21212221212).

The spelling of 10102101111 in words is "ten billion, one hundred two million, one hundred one thousand, one hundred eleven".