1110101011141 has 16 divisors (see below), whose sum is σ = 1144312369200. Its totient is φ = 1076392931328.

The previous prime is 1110101011127. The next prime is 1110101011157. The reversal of 1110101011141 is 1411101010111.

It can be written as a sum of positive squares in 8 ways, for example, as 2492106241 + 1107608904900 = 49921^2 + 1052430^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110101011141 - 2⁷ = 1110101011013 is a prime.

It is a super-2 number, since 2×1110101011141² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110101011111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9797485 + ... + 9910141.

It is an arithmetic number, because the mean of its divisors is an integer number (71519523075).

Almost surely, 2^{1110101011141} is an apocalyptic number.

It is an amenable number.

1110101011141 is a deficient number, since it is larger than the sum of its proper divisors (34211358059).

1110101011141 is a wasteful number, since it uses less digits than its factorization.

1110101011141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114888.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1110101011141 its reverse (1411101010111), we get a palindrome (2521202021252).

The spelling of 1110101011141 in words is "one trillion, one hundred ten billion, one hundred one million, eleven thousand, one hundred forty-one".