1110101131121 has 16 divisors (see below), whose sum is σ = 1155141336960. Its totient is φ = 1065526277760.

The previous prime is 1110101131103. The next prime is 1110101131157. The reversal of 1110101131121 is 1211311010111.

It is a de Polignac number, because none of the positive numbers 2^k-1110101131121 is a prime.

It is a super-2 number, since 2×1110101131121² (a number of 25 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 = 1110101131096 and 1110101131105.

It is not an unprimeable number, because it can be changed into a prime (1110101131021) 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, 4133486 + ... + 4393848.

It is an arithmetic number, because the mean of its divisors is an integer number (72196333560).

Almost surely, 2^{1110101131121} is an apocalyptic number.

It is an amenable number.

1110101131121 is a deficient number, since it is larger than the sum of its proper divisors (45040205839).

1110101131121 is a wasteful number, since it uses less digits than its factorization.

1110101131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261256.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 1110101131121 its reverse (1211311010111), we get a palindrome (2321412141232).

The spelling of 1110101131121 in words is "one trillion, one hundred ten billion, one hundred one million, one hundred thirty-one thousand, one hundred twenty-one".