1000101111111 has 16 divisors (see below), whose sum is σ = 1482627724800. Its totient is φ = 666285672024.

The previous prime is 1000101111013. The next prime is 1000101111167. The reversal of 1000101111111 is 1111111010001.

It is not a de Polignac number, because 1000101111111 - 2⁹ = 1000101110599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

1000101111111 is a modest number, since divided by 1111111 gives 100010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1000101111093 and 1000101111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101151111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12414721 + ... + 12495018.

It is an arithmetic number, because the mean of its divisors is an integer number (92664232800).

Almost surely, 2^{1000101111111} is an apocalyptic number.

1000101111111 is a deficient number, since it is larger than the sum of its proper divisors (482526613689).

1000101111111 is a wasteful number, since it uses less digits than its factorization.

1000101111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24911235 (or 24911229 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1000101111111 its reverse (1111111010001), we get a palindrome (2111212121112).

It can be divided in two parts, 100010 and 1111111, that added together give a palindrome (1211121).

The spelling of 1000101111111 in words is "one trillion, one hundred one million, one hundred eleven thousand, one hundred eleven".