10102110122101 has 4 divisors (see below), whose sum is σ = 10119618112492. Its totient is φ = 10084602131712.

The previous prime is 10102110122023. The next prime is 10102110122119. The reversal of 10102110122101 is 10122101120101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9451504948900 + 650605173201 = 3074330^2 + 806601^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102110122101 - 2¹⁹ = 10102109597813 is a prime.

It is a super-2 number, since 2×10102110122101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102110129101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8753994330 + ... + 8753995483.

It is an arithmetic number, because the mean of its divisors is an integer number (2529904528123).

Almost surely, 2^{10102110122101} is an apocalyptic number.

It is an amenable number.

10102110122101 is a deficient number, since it is larger than the sum of its proper divisors (17507990391).

10102110122101 is an equidigital number, since it uses as much as digits as its factorization.

10102110122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17507990390.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10102110122101 its reverse (10122101120101), we get a palindrome (20224211242202).

The spelling of 10102110122101 in words is "ten trillion, one hundred two billion, one hundred ten million, one hundred twenty-two thousand, one hundred one".