10110122012101 has 8 divisors (see below), whose sum is σ = 10503634241880. Its totient is φ = 9719602271232.

The previous prime is 10110122012047. The next prime is 10110122012117. The reversal of 10110122012101 is 10121022101101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 188031507876 + 9922090504225 = 433626^2 + 3149935^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10110122012101 - 2²⁹ = 10109585141189 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 (10110122012161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 748115340 + ... + 748128853.

It is an arithmetic number, because the mean of its divisors is an integer number (1312954280235).

Almost surely, 2^{10110122012101} is an apocalyptic number.

It is an amenable number.

10110122012101 is a deficient number, since it is larger than the sum of its proper divisors (393512229779).

10110122012101 is a wasteful number, since it uses less digits than its factorization.

10110122012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496244455.

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

Adding to 10110122012101 its reverse (10121022101101), we get a palindrome (20231144113202).

The spelling of 10110122012101 in words is "ten trillion, one hundred ten billion, one hundred twenty-two million, twelve thousand, one hundred one".