10022010103300 has 72 divisors (see below), whose sum is σ = 23425567683336. Its totient is φ = 3699660149760.

The previous prime is 10022010103279. The next prime is 10022010103319. The reversal of 10022010103300 is 330101022001.

It can be written as a sum of positive squares in 12 ways, for example, as 6087983803456 + 3934026299844 = 2467384^2 + 1983438^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5426682 + ... + 7035118.

It is an arithmetic number, because the mean of its divisors is an integer number (325355106713).

Almost surely, 2^{10022010103300} is an apocalyptic number.

10022010103300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022010103300 is an abundant number, since it is smaller than the sum of its proper divisors (13403557580036).

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

10022010103300 is a wasteful number, since it uses less digits than its factorization.

10022010103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613257 (or 1613250 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10022010103300 its reverse (330101022001), we get a palindrome (10352111125301).

The spelling of 10022010103300 in words is "ten trillion, twenty-two billion, ten million, one hundred three thousand, three hundred".