101022022303002 has 12 divisors (see below), whose sum is σ = 218881048323210. Its totient is φ = 33674007434328.

The previous prime is 101022022303001. The next prime is 101022022303057. The reversal of 101022022303002 is 200303220220101.

101022022303002 is a `hidden beast` number, since 10 + 102 + 20 + 2 + 230 + 300 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100355495382081 + 666526920921 = 10017759^2 + 816411^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5612334572389 = 101022022303002 / (1 + 0 + 1 + 0 + 2 + 2 + 0 + 2 + 2 + 3 + 0 + 3 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (101022022303001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2806167286177 + ... + 2806167286212.

Almost surely, 2^{101022022303002} is an apocalyptic number.

101022022303002 is an abundant number, since it is smaller than the sum of its proper divisors (117859026020208).

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

101022022303002 is a wasteful number, since it uses less digits than its factorization.

101022022303002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612334572397 (or 5612334572394 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101022022303002 its reverse (200303220220101), we get a palindrome (301325242523103).

The spelling of 101022022303002 in words is "one hundred one trillion, twenty-two billion, twenty-two million, three hundred three thousand, two".