1001111011121 has 16 divisors (see below), whose sum is σ = 1115661019200. Its totient is φ = 891944923968.

The previous prime is 1001111011111. The next prime is 1001111011129. The reversal of 1001111011121 is 1211101111001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1001111011121 - 2⁶ = 1001111011057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001111011129) 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, 723350 + ... + 1589168.

It is an arithmetic number, because the mean of its divisors is an integer number (69728813700).

Almost surely, 2^{1001111011121} is an apocalyptic number.

It is an amenable number.

1001111011121 is a deficient number, since it is larger than the sum of its proper divisors (114550008079).

1001111011121 is a wasteful number, since it uses less digits than its factorization.

1001111011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868928.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1001111011121 its reverse (1211101111001), we get a palindrome (2212212122122).

The spelling of 1001111011121 in words is "one trillion, one billion, one hundred eleven million, eleven thousand, one hundred twenty-one".