101012312032 has 48 divisors (see below), whose sum is σ = 200063721312. Its totient is φ = 50202754560.

The previous prime is 101012312029. The next prime is 101012312039. The reversal of 101012312032 is 230213210101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101012311997 and 101012312015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012312039) 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 7 ways as a sum of consecutive naturals, for example, 20599693 + ... + 20604595.

It is an arithmetic number, because the mean of its divisors is an integer number (4167994194).

Almost surely, 2^101012312032 is an apocalyptic number.

It is an amenable number.

101012312032 is a deficient number, since it is larger than the sum of its proper divisors (99051409280).

101012312032 is a wasteful number, since it uses less digits than its factorization.

101012312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8651 (or 8643 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101012312032 its reverse (230213210101), we get a palindrome (331225522133).

The spelling of 101012312032 in words is "one hundred one billion, twelve million, three hundred twelve thousand, thirty-two".