10220123320200 has 72 divisors (see below), whose sum is σ = 34322580823050. Its totient is φ = 2725366218240.

The previous prime is 10220123320193. The next prime is 10220123320249. The reversal of 10220123320200 is 202332102201.

10220123320200 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 123 + 320 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4925549932164 + 5294573388036 = 2219358^2 + 2300994^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 2838921345 + ... + 2838924944.

Almost surely, 2^{10220123320200} is an apocalyptic number.

10220123320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220123320200 is an abundant number, since it is smaller than the sum of its proper divisors (24102457502850).

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

10220123320200 is a wasteful number, since it uses less digits than its factorization.

10220123320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677846311 (or 5677846299 counting only the distinct ones).

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

Adding to 10220123320200 its reverse (202332102201), we get a palindrome (10422455422401).

The spelling of 10220123320200 in words is "ten trillion, two hundred twenty billion, one hundred twenty-three million, three hundred twenty thousand, two hundred".