1001000112111 has 6 divisors (see below), whose sum is σ = 1445889050840. Its totient is φ = 667333408068.

The previous prime is 1001000112043. The next prime is 1001000112137. The reversal of 1001000112111 is 1112110001001.

1001000112111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001000112111 - 2³¹ = 998852628463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111222234679 = 1001000112111 / (1 + 0 + 0 + 1 + 0 + 0 + 0 + 1 + 1 + 2 + 1 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001000112093 and 1001000112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000112181) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55611117331 + ... + 55611117348.

Almost surely, 2^{1001000112111} is an apocalyptic number.

1001000112111 is a deficient number, since it is larger than the sum of its proper divisors (444888938729).

1001000112111 is a wasteful number, since it uses less digits than its factorization.

1001000112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111222234685 (or 111222234682 counting only the distinct ones).

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

Adding to 1001000112111 its reverse (1112110001001), we get a palindrome (2113110113112).

It can be divided in two parts, 1001000 and 112111, that added together give a palindrome (1113111).

The spelling of 1001000112111 in words is "one trillion, one billion, one hundred twelve thousand, one hundred eleven".