1001101101111 has 12 divisors (see below), whose sum is σ = 1446600477192. Its totient is φ = 667139709456.

The previous prime is 1001101101101. The next prime is 1001101101127. The reversal of 1001101101111 is 1111011011001.

It is not a de Polignac number, because 1001101101111 - 2⁷ = 1001101100983 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 = 1001101101093 and 1001101101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101101101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21727761 + ... + 21773786.

It is an arithmetic number, because the mean of its divisors is an integer number (120550039766).

Almost surely, 2^{1001101101111} is an apocalyptic number.

1001101101111 is a deficient number, since it is larger than the sum of its proper divisors (445499376081).

1001101101111 is a wasteful number, since it uses less digits than its factorization.

1001101101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43504110 (or 43504107 counting only the distinct ones).

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

Adding to 1001101101111 its reverse (1111011011001), we get a palindrome (2112112112112).

The spelling of 1001101101111 in words is "one trillion, one billion, one hundred one million, one hundred one thousand, one hundred eleven".