101023032012 has 96 divisors (see below), whose sum is σ = 282042432000. Its totient is φ = 27532603392.

The previous prime is 101023031999. The next prime is 101023032037. The reversal of 101023032012 is 210230320101.

It is a junction number, because it is equal to n+sod(n) for n = 101023031982 and 101023032000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47637 + ... + 452012.

It is an arithmetic number, because the mean of its divisors is an integer number (2937942000).

Almost surely, 2^101023032012 is an apocalyptic number.

101023032012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101023032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141021216000).

101023032012 is an abundant number, since it is smaller than the sum of its proper divisors (181019399988).

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

101023032012 is a wasteful number, since it uses less digits than its factorization.

101023032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499775 (or 499773 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101023032012 its reverse (210230320101), we get a palindrome (311253352113).

The spelling of 101023032012 in words is "one hundred one billion, twenty-three million, thirty-two thousand, twelve".