102122333220200 has 24 divisors (see below), whose sum is σ = 237434424737430. Its totient is φ = 40848933288000.

The previous prime is 102122333220151. The next prime is 102122333220221. The reversal of 102122333220200 is 2022333221201.

It can be written as a sum of positive squares in 3 ways, for example, as 89218188109444 + 12904145110756 = 9445538^2 + 3592234^2 .

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 5 ways as a sum of consecutive naturals, for example, 255305832851 + ... + 255305833250.

Almost surely, 2^{102122333220200} is an apocalyptic number.

102122333220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122333220200 is an abundant number, since it is smaller than the sum of its proper divisors (135312091517230).

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

102122333220200 is a wasteful number, since it uses less digits than its factorization.

102122333220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510611666117 (or 510611666108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 102122333220200 its reverse (2022333221201), we get a palindrome (104144666441401).

The spelling of 102122333220200 in words is "one hundred two trillion, one hundred twenty-two billion, three hundred thirty-three million, two hundred twenty thousand, two hundred".