10122111000101 has 4 divisors (see below), whose sum is σ = 10313094226572. Its totient is φ = 9931127773632.

The previous prime is 10122110999999. The next prime is 10122111000103. The reversal of 10122111000101 is 10100011122101.

10122111000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7426360768225 + 2695750231876 = 2725135^2 + 1641874^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122111000101 - 2⁴² = 5724064488997 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 (10122111000103) 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, 95491613156 + ... + 95491613261.

It is an arithmetic number, because the mean of its divisors is an integer number (2578273556643).

Almost surely, 2^{10122111000101} is an apocalyptic number.

It is an amenable number.

10122111000101 is a deficient number, since it is larger than the sum of its proper divisors (190983226471).

10122111000101 is an equidigital number, since it uses as much as digits as its factorization.

10122111000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190983226470.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10122111000101 its reverse (10100011122101), we get a palindrome (20222122122202).

The spelling of 10122111000101 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, one hundred one", and thus it is an aban number.