101002112314 has 32 divisors (see below), whose sum is σ = 157017767760. Its totient is φ = 48693504000.

The previous prime is 101002112261. The next prime is 101002112317. The reversal of 101002112314 is 413211200101.

It can be written as a sum of positive squares in 8 ways, for example, as 12570221689 + 88431890625 = 112117^2 + 297375^2 .

It is not an unprimeable number, because it can be changed into a prime (101002112317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4701742 + ... + 4723174.

Almost surely, 2^101002112314 is an apocalyptic number.

101002112314 is a deficient number, since it is larger than the sum of its proper divisors (56015655446).

101002112314 is a wasteful number, since it uses less digits than its factorization.

101002112314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22146.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101002112314 its reverse (413211200101), we get a palindrome (514213312415).

The spelling of 101002112314 in words is "one hundred one billion, two million, one hundred twelve thousand, three hundred fourteen".