10111000003121 has 8 divisors (see below), whose sum is σ = 10117919440200. Its totient is φ = 10104082560000.

The previous prime is 10111000003087. The next prime is 10111000003133. The reversal of 10111000003121 is 12130000011101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1733332866721 + 8377667136400 = 1316561^2 + 2894420^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10111000003121 - 2⁶ = 10111000003057 is a prime.

It is a super-2 number, since 2×10111000003121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111000005121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9718121 + ... + 10708121.

It is an arithmetic number, because the mean of its divisors is an integer number (1264739930025).

Almost surely, 2^{10111000003121} is an apocalyptic number.

It is an amenable number.

10111000003121 is a deficient number, since it is larger than the sum of its proper divisors (6919437079).

10111000003121 is an equidigital number, since it uses as much as digits as its factorization.

10111000003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996979.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10111000003121 its reverse (12130000011101), we get a palindrome (22241000014222).

The spelling of 10111000003121 in words is "ten trillion, one hundred eleven billion, three thousand, one hundred twenty-one".