10201314111 has 48 divisors (see below), whose sum is σ = 14759222400. Its totient is φ = 6248114496.

The previous prime is 10201314107. The next prime is 10201314113. The reversal of 10201314111 is 11141310201.

10201314111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10201314111 - 2² = 10201314107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201314113) 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 47 ways as a sum of consecutive naturals, for example, 64976445 + ... + 64976601.

It is an arithmetic number, because the mean of its divisors is an integer number (307483800).

Almost surely, 2^10201314111 is an apocalyptic number.

10201314111 is a deficient number, since it is larger than the sum of its proper divisors (4557908289).

10201314111 is a wasteful number, since it uses less digits than its factorization.

10201314111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10201314111 its reverse (11141310201), we get a palindrome (21342624312).

It can be divided in two parts, 1020 and 1314111, that added together give a palindrome (1315131).

The spelling of 10201314111 in words is "ten billion, two hundred one million, three hundred fourteen thousand, one hundred eleven".