101385311812 has 48 divisors (see below), whose sum is σ = 181279630000. Its totient is φ = 49600512000.

The previous prime is 101385311809. The next prime is 101385311813. The reversal of 101385311812 is 218113583101.

It can be written as a sum of positive squares in 8 ways, for example, as 62072732736 + 39312579076 = 249144^2 + 198274^2 .

It is not an unprimeable number, because it can be changed into a prime (101385311813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81172564 + ... + 81173812.

Almost surely, 2^101385311812 is an apocalyptic number.

It is an amenable number.

101385311812 is a deficient number, since it is larger than the sum of its proper divisors (79894318188).

101385311812 is a wasteful number, since it uses less digits than its factorization.

101385311812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

Adding to 101385311812 its reverse (218113583101), we get a palindrome (319498894913).

The spelling of 101385311812 in words is "one hundred one billion, three hundred eighty-five million, three hundred eleven thousand, eight hundred twelve".