10221312302300 has 72 divisors (see below), whose sum is σ = 24653174252112. Its totient is φ = 3646711744000.

The previous prime is 10221312302249. The next prime is 10221312302351. The reversal of 10221312302300 is 320321312201.

It is an interprime number because it is at equal distance from previous prime (10221312302249) and next prime (10221312302351).

It is a super-2 number, since 2×10221312302300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 87603041 + ... + 87719640.

It is an arithmetic number, because the mean of its divisors is an integer number (342405197946).

Almost surely, 2^{10221312302300} is an apocalyptic number.

10221312302300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221312302300 is an abundant number, since it is smaller than the sum of its proper divisors (14431861949812).

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

10221312302300 is a wasteful number, since it uses less digits than its factorization.

10221312302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175322759 (or 175322752 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10221312302300 its reverse (320321312201), we get a palindrome (10541633614501).

Subtracting from 10221312302300 its reverse (320321312201), we obtain a palindrome (9900990990099).

The spelling of 10221312302300 in words is "ten trillion, two hundred twenty-one billion, three hundred twelve million, three hundred two thousand, three hundred".