10001120111121 has 16 divisors (see below), whose sum is σ = 13379320779264. Its totient is φ = 6645203476224.

The previous prime is 10001120111107. The next prime is 10001120111159. The reversal of 10001120111121 is 12111102110001.

It is not a de Polignac number, because 10001120111121 - 2⁵ = 10001120111089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001120111097 and 10001120111106.

It is not an unprimeable number, because it can be changed into a prime (10001120111621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3550926 + ... + 5710631.

It is an arithmetic number, because the mean of its divisors is an integer number (836207548704).

Almost surely, 2^{10001120111121} is an apocalyptic number.

It is an amenable number.

10001120111121 is a deficient number, since it is larger than the sum of its proper divisors (3378200668143).

10001120111121 is an equidigital number, since it uses as much as digits as its factorization.

10001120111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9262760.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10001120111121 its reverse (12111102110001), we get a palindrome (22112222221122).

The spelling of 10001120111121 in words is "ten trillion, one billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty-one".