101312412032 has 192 divisors, whose sum is σ = 225219476160. Its totient is φ = 45354516480.

The previous prime is 101312412029. The next prime is 101312412037. The reversal of 101312412032 is 230214213101.

It is a junction number, because it is equal to n+sod(n) for n = 101312411995 and 101312412013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312412037) 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 23 ways as a sum of consecutive naturals, for example, 111209657 + ... + 111210567.

It is an arithmetic number, because the mean of its divisors is an integer number (1173018105).

Almost surely, 2^101312412032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101312412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112609738080).

101312412032 is an abundant number, since it is smaller than the sum of its proper divisors (123907064128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101312412032 is an equidigital number, since it uses as much as digits as its factorization.

101312412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101312412032 its reverse (230214213101), we get a palindrome (331526625133).

The spelling of 101312412032 in words is "one hundred one billion, three hundred twelve million, four hundred twelve thousand, thirty-two".