10102400111 has 8 divisors (see below), whose sum is σ = 10640983920. Its totient is φ = 9564504192.

The previous prime is 10102400089. The next prime is 10102400167. The reversal of 10102400111 is 11100420101.

10102400111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102400111 - 2⁶ = 10102400047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102400092 and 10102400101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102400171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141680 + ... + 200693.

It is an arithmetic number, because the mean of its divisors is an integer number (1330122990).

Almost surely, 2^10102400111 is an apocalyptic number.

10102400111 is a deficient number, since it is larger than the sum of its proper divisors (538583809).

10102400111 is a wasteful number, since it uses less digits than its factorization.

10102400111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343945.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10102400111 its reverse (11100420101), we get a palindrome (21202820212).

The spelling of 10102400111 in words is "ten billion, one hundred two million, four hundred thousand, one hundred eleven".