10102110002101 has 24 divisors (see below), whose sum is σ = 11174021483904. Its totient is φ = 9124735800960.

The previous prime is 10102110002099. The next prime is 10102110002111. The reversal of 10102110002101 is 10120001120101.

It is not a de Polignac number, because 10102110002101 - 2¹ = 10102110002099 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 (10102110002111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39085786 + ... + 39343396.

It is an arithmetic number, because the mean of its divisors is an integer number (465584228496).

Almost surely, 2^{10102110002101} is an apocalyptic number.

It is an amenable number.

10102110002101 is a deficient number, since it is larger than the sum of its proper divisors (1071911481803).

10102110002101 is a wasteful number, since it uses less digits than its factorization.

10102110002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262621 (or 262608 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10102110002101 its reverse (10120001120101), we get a palindrome (20222111122202).

The spelling of 10102110002101 in words is "ten trillion, one hundred two billion, one hundred ten million, two thousand, one hundred one".