100001101011111 has 32 divisors (see below), whose sum is σ = 149015456593920. Its totient is φ = 66277894095072.

The previous prime is 100001101011109. The next prime is 100001101011143. The reversal of 100001101011111 is 111110101100001.

It is not a de Polignac number, because 100001101011111 - 2¹ = 100001101011109 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 = 100001101011093 and 100001101011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001101011311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74929330 + ... + 76252256.

It is an arithmetic number, because the mean of its divisors is an integer number (4656733018560).

Almost surely, 2^{100001101011111} is an apocalyptic number.

100001101011111 is a deficient number, since it is larger than the sum of its proper divisors (49014355582809).

100001101011111 is a wasteful number, since it uses less digits than its factorization.

100001101011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339292 (or 1339286 counting only the distinct ones).

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

Adding to 100001101011111 its reverse (111110101100001), we get a palindrome (211111202111112).

The spelling of 100001101011111 in words is "one hundred trillion, one billion, one hundred one million, eleven thousand, one hundred eleven".