101040111 has 6 divisors (see below), whose sum is σ = 145946840. Its totient is φ = 67360068.

The previous prime is 101040077. The next prime is 101040139. The reversal of 101040111 is 111040101.

It is not a de Polignac number, because 101040111 - 2⁹ = 101039599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11226679 = 101040111 / (1 + 0 + 1 + 0 + 4 + 0 + 1 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101040093 and 101040102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101040151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5613331 + ... + 5613348.

Almost surely, 2^101040111 is an apocalyptic number.

101040111 is a deficient number, since it is larger than the sum of its proper divisors (44906729).

101040111 is a wasteful number, since it uses less digits than its factorization.

101040111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11226685 (or 11226682 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 101040111 is about 10051.8710198649. The cubic root of 101040111 is about 465.7625918978.

Adding to 101040111 its reverse (111040101), we get a palindrome (212080212).

The spelling of 101040111 in words is "one hundred one million, forty thousand, one hundred eleven".