1101101001111 has 48 divisors (see below), whose sum is σ = 1720874095200. Its totient is φ = 676272070656.

The previous prime is 1101101001109. The next prime is 1101101001113. The reversal of 1101101001111 is 1111001011011.

It is an interprime number because it is at equal distance from previous prime (1101101001109) and next prime (1101101001113).

It is not a de Polignac number, because 1101101001111 - 2¹ = 1101101001109 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 = 1101101001093 and 1101101001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101101001113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486535 + ... + 1561703.

It is an arithmetic number, because the mean of its divisors is an integer number (35851543650).

Almost surely, 2^{1101101001111} is an apocalyptic number.

1101101001111 is a deficient number, since it is larger than the sum of its proper divisors (619773094089).

1101101001111 is a wasteful number, since it uses less digits than its factorization.

1101101001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075360 (or 1075357 counting only the distinct ones).

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

Adding to 1101101001111 its reverse (1111001011011), we get a palindrome (2212102012122).

The spelling of 1101101001111 in words is "one trillion, one hundred one billion, one hundred one million, one thousand, one hundred eleven".