102220220100200 has 24 divisors (see below), whose sum is σ = 237662011733430. Its totient is φ = 40888088040000.

The previous prime is 102220220100179. The next prime is 102220220100233. The reversal of 102220220100200 is 2001022022201.

It can be written as a sum of positive squares in 3 ways, for example, as 98301950290756 + 3918269809444 = 9914734^2 + 1979462^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255550550051 + ... + 255550550450.

Almost surely, 2^{102220220100200} is an apocalyptic number.

102220220100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220220100200 is an abundant number, since it is smaller than the sum of its proper divisors (135441791633230).

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

102220220100200 is a wasteful number, since it uses less digits than its factorization.

102220220100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511101100517 (or 511101100508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102220220100200 its reverse (2001022022201), we get a palindrome (104221242122401).

The spelling of 102220220100200 in words is "one hundred two trillion, two hundred twenty billion, two hundred twenty million, one hundred thousand, two hundred".