101400111 has 12 divisors (see below), whose sum is σ = 146627520. Its totient is φ = 67525920.

The previous prime is 101400109. The next prime is 101400113. The reversal of 101400111 is 111004101.

It is an interprime number because it is at equal distance from previous prime (101400109) and next prime (101400113).

It is not a de Polignac number, because 101400111 - 2¹ = 101400109 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 = 101400093 and 101400102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400113) 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, 3235 + ... + 14603.

It is an arithmetic number, because the mean of its divisors is an integer number (12218960).

Almost surely, 2^101400111 is an apocalyptic number.

101400111 is a deficient number, since it is larger than the sum of its proper divisors (45227409).

101400111 is a wasteful number, since it uses less digits than its factorization.

101400111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12366 (or 12363 counting only the distinct ones).

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

The square root of 101400111 is about 10069.7622116910. The cubic root of 101400111 is about 466.3150978497.

Adding to 101400111 its reverse (111004101), we get a palindrome (212404212).

The spelling of 101400111 in words is "one hundred one million, four hundred thousand, one hundred eleven".