10011101121 has 112 divisors (see below), whose sum is σ = 18299443200. Its totient is φ = 5346847584.

The previous prime is 10011101099. The next prime is 10011101123. The reversal of 10011101121 is 12110111001.

It is not a de Polignac number, because 10011101121 - 2⁶ = 10011101057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10011101123) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7658950 + ... + 7660256.

Almost surely, 2^10011101121 is an apocalyptic number.

It is an amenable number.

10011101121 is a deficient number, since it is larger than the sum of its proper divisors (8288342079).

10011101121 is an equidigital number, since it uses as much as digits as its factorization.

10011101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011101121 its reverse (12110111001), we get a palindrome (22121212122).

The spelling of 10011101121 in words is "ten billion, eleven million, one hundred one thousand, one hundred twenty-one".