10122111111001 has 4 divisors (see below), whose sum is σ = 10186583156452. Its totient is φ = 10057639065552.

The previous prime is 10122111110987. The next prime is 10122111111011. The reversal of 10122111111001 is 10011111122101.

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 4854535296601 + 5267575814400 = 2203301^2 + 2295120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122111111001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122111111011) 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, 32236022490 + ... + 32236022803.

It is an arithmetic number, because the mean of its divisors is an integer number (2546645789113).

Almost surely, 2^{10122111111001} is an apocalyptic number.

It is an amenable number.

10122111111001 is a deficient number, since it is larger than the sum of its proper divisors (64472045451).

10122111111001 is an equidigital number, since it uses as much as digits as its factorization.

10122111111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64472045450.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10122111111001 its reverse (10011111122101), we get a palindrome (20133222233102).

It can be divided in two parts, 1012211 and 1111001, that added together give a palindrome (2123212).

The spelling of 10122111111001 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, one hundred eleven thousand, one".