10011120211121 has 4 divisors (see below), whose sum is σ = 10011904978932. Its totient is φ = 10010335443312.

The previous prime is 10011120211109. The next prime is 10011120211139. The reversal of 10011120211121 is 12111202111001.

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 6561051717025 + 3450068494096 = 2561455^2 + 1857436^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011120211121 - 2³⁴ = 9993940341937 is a prime.

It is a super-2 number, since 2×10011120211121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011120211096 and 10011120211105.

It is not an unprimeable number, because it can be changed into a prime (10011120211021) 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, 392364770 + ... + 392390283.

It is an arithmetic number, because the mean of its divisors is an integer number (2502976244733).

Almost surely, 2^{10011120211121} is an apocalyptic number.

It is an amenable number.

10011120211121 is a deficient number, since it is larger than the sum of its proper divisors (784767811).

10011120211121 is an equidigital number, since it uses as much as digits as its factorization.

10011120211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784767810.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10011120211121 its reverse (12111202111001), we get a palindrome (22122322322122).

The spelling of 10011120211121 in words is "ten trillion, eleven billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty-one".