10111120101001 has 4 divisors (see below), whose sum is σ = 10111548036100. Its totient is φ = 10110692165904.

The previous prime is 10111120100993. The next prime is 10111120101073. The reversal of 10111120101001 is 10010102111101.

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 542609024400 + 9568511076601 = 736620^2 + 3093301^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111120101001 - 2³ = 10111120100993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111120101301) 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, 213932106 + ... + 213979363.

It is an arithmetic number, because the mean of its divisors is an integer number (2527887009025).

Almost surely, 2^{10111120101001} is an apocalyptic number.

It is an amenable number.

10111120101001 is a deficient number, since it is larger than the sum of its proper divisors (427935099).

10111120101001 is an equidigital number, since it uses as much as digits as its factorization.

10111120101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427935098.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111120101001 its reverse (10010102111101), we get a palindrome (20121222212102).

The spelling of 10111120101001 in words is "ten trillion, one hundred eleven billion, one hundred twenty million, one hundred one thousand, one".