1100100012111 has 20 divisors (see below), whose sum is σ = 1664161303200. Its totient is φ = 724116459456.

The previous prime is 1100100012091. The next prime is 1100100012131. The reversal of 1100100012111 is 1112100010011.

It is an interprime number because it is at equal distance from previous prime (1100100012091) and next prime (1100100012131).

It is not a de Polignac number, because 1100100012111 - 2¹⁵ = 1100099979343 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100100012093 and 1100100012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100100012131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85952346 + ... + 85965143.

It is an arithmetic number, because the mean of its divisors is an integer number (83208065160).

Almost surely, 2^{1100100012111} is an apocalyptic number.

1100100012111 is a deficient number, since it is larger than the sum of its proper divisors (564061291089).

1100100012111 is an equidigital number, since it uses as much as digits as its factorization.

1100100012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171917580 (or 171917571 counting only the distinct ones).

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

Adding to 1100100012111 its reverse (1112100010011), we get a palindrome (2212200022122).

The spelling of 1100100012111 in words is "one trillion, one hundred billion, one hundred million, twelve thousand, one hundred eleven".