1011000101111 has 96 divisors (see below), whose sum is σ = 1446724800000. Its totient is φ = 683681955840.

The previous prime is 1011000101093. The next prime is 1011000101113. The reversal of 1011000101111 is 1111010001101.

It is not a de Polignac number, because 1011000101111 - 2²² = 1010995906807 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011000101113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276303200 + ... + 276306858.

It is an arithmetic number, because the mean of its divisors is an integer number (15070050000).

Almost surely, 2^{1011000101111} is an apocalyptic number.

1011000101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011000101111 is a deficient number, since it is larger than the sum of its proper divisors (435724698889).

1011000101111 is a wasteful number, since it uses less digits than its factorization.

1011000101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1011000101111 its reverse (1111010001101), we get a palindrome (2122010102212).

It can be divided in two parts, 1011000 and 101111, that added together give a palindrome (1112111).

The spelling of 1011000101111 in words is "one trillion, eleven billion, one hundred one thousand, one hundred eleven".