11142400101 has 64 divisors (see below), whose sum is σ = 17519155200. Its totient is φ = 6168519936.

The previous prime is 11142400037. The next prime is 11142400111. The reversal of 11142400101 is 10100424111.

It is not a de Polignac number, because 11142400101 - 2⁶ = 11142400037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142400111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48656655 + ... + 48656883.

It is an arithmetic number, because the mean of its divisors is an integer number (273736800).

Almost surely, 2^11142400101 is an apocalyptic number.

It is an amenable number.

11142400101 is a deficient number, since it is larger than the sum of its proper divisors (6376755099).

11142400101 is a wasteful number, since it uses less digits than its factorization.

11142400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11142400101 its reverse (10100424111), we get a palindrome (21242824212).

The spelling of 11142400101 in words is "eleven billion, one hundred forty-two million, four hundred thousand, one hundred one".