102022022200 has 96 divisors (see below), whose sum is σ = 271178179200. Its totient is φ = 34967226240.

The previous prime is 102022022197. The next prime is 102022022239. The reversal of 102022022200 is 2220220201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4843291 + ... + 4864309.

It is an arithmetic number, because the mean of its divisors is an integer number (2824772700).

Almost surely, 2^102022022200 is an apocalyptic number.

102022022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135589089600).

102022022200 is an abundant number, since it is smaller than the sum of its proper divisors (169156157000).

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

102022022200 is a wasteful number, since it uses less digits than its factorization.

102022022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24509 (or 24500 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 102022022200 its reverse (2220220201), we get a palindrome (104242242401).

The spelling of 102022022200 in words is "one hundred two billion, twenty-two million, twenty-two thousand, two hundred".