1011100101115 has 48 divisors (see below), whose sum is σ = 1329564493152. Its totient is φ = 737770954752.

The previous prime is 1011100101101. The next prime is 1011100101247. The reversal of 1011100101115 is 5111010011101.

It is not a de Polignac number, because 1011100101115 - 2⁷ = 1011100100987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011100101095 and 1011100101104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23806939 + ... + 23849371.

It is an arithmetic number, because the mean of its divisors is an integer number (27699260274).

Almost surely, 2^{1011100101115} is an apocalyptic number.

1011100101115 is a deficient number, since it is larger than the sum of its proper divisors (318464392037).

1011100101115 is a wasteful number, since it uses less digits than its factorization.

1011100101115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42800 (or 42787 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 13.

Adding to 1011100101115 its reverse (5111010011101), we get a palindrome (6122110112216).

The spelling of 1011100101115 in words is "one trillion, eleven billion, one hundred million, one hundred one thousand, one hundred fifteen".