101022303012 has 96 divisors (see below), whose sum is σ = 252793390080. Its totient is φ = 31322712960.

The previous prime is 101022303007. The next prime is 101022303013. The reversal of 101022303012 is 210303220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022302982 and 101022303000.

It is not an unprimeable number, because it can be changed into a prime (101022303013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2699187 + ... + 2736357.

It is an arithmetic number, because the mean of its divisors is an integer number (2633264480).

Almost surely, 2^101022303012 is an apocalyptic number.

101022303012 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 101022303012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126396695040).

101022303012 is an abundant number, since it is smaller than the sum of its proper divisors (151771087068).

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

101022303012 is a wasteful number, since it uses less digits than its factorization.

101022303012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37473 (or 37471 counting only the distinct ones).

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

Adding to 101022303012 its reverse (210303220101), we get a palindrome (311325523113).

The spelling of 101022303012 in words is "one hundred one billion, twenty-two million, three hundred three thousand, twelve".