1011100001121 has 24 divisors (see below), whose sum is σ = 1678765558080. Its totient is φ = 574431703776.

The previous prime is 1011100001113. The next prime is 1011100001141. The reversal of 1011100001121 is 1211000011101.

It is not a de Polignac number, because 1011100001121 - 2³ = 1011100001113 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 (1011100001141) 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 23 ways as a sum of consecutive naturals, for example, 46374091 + ... + 46395888.

It is an arithmetic number, because the mean of its divisors is an integer number (69948564920).

Almost surely, 2^{1011100001121} is an apocalyptic number.

It is an amenable number.

1011100001121 is a deficient number, since it is larger than the sum of its proper divisors (667665556959).

1011100001121 is a wasteful number, since it uses less digits than its factorization.

1011100001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92770165 (or 92770162 counting only the distinct ones).

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

Adding to 1011100001121 its reverse (1211000011101), we get a palindrome (2222100012222).

The spelling of 1011100001121 in words is "one trillion, eleven billion, one hundred million, one thousand, one hundred twenty-one".