1001101110111 has 16 divisors (see below), whose sum is σ = 1484041506400. Its totient is φ = 666982802304.

The previous prime is 1001101110091. The next prime is 1001101110131. The reversal of 1001101110111 is 1110111011001.

It is an interprime number because it is at equal distance from previous prime (1001101110091) and next prime (1001101110131).

It is not a de Polignac number, because 1001101110111 - 2⁹ = 1001101109599 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001101110093 and 1001101110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101110131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11565466 + ... + 11651703.

It is an arithmetic number, because the mean of its divisors is an integer number (92752594150).

Almost surely, 2^{1001101110111} is an apocalyptic number.

1001101110111 is a deficient number, since it is larger than the sum of its proper divisors (482940396289).

1001101110111 is a wasteful number, since it uses less digits than its factorization.

1001101110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23218775 (or 23218769 counting only the distinct ones).

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

Adding to 1001101110111 its reverse (1110111011001), we get a palindrome (2111212121112).

The spelling of 1001101110111 in words is "one trillion, one billion, one hundred one million, one hundred ten thousand, one hundred eleven".