100222002210 has 96 divisors (see below), whose sum is σ = 264503445696. Its totient is φ = 24285571200.

The previous prime is 100222002197. The next prime is 100222002227. The reversal of 100222002210 is 12200222001.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 11019765 + ... + 11028855.

It is an arithmetic number, because the mean of its divisors is an integer number (2755244226).

Almost surely, 2^100222002210 is an apocalyptic number.

100222002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132251722848).

100222002210 is an abundant number, since it is smaller than the sum of its proper divisors (164281443486).

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

100222002210 is a wasteful number, since it uses less digits than its factorization.

100222002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12160 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100222002210 its reverse (12200222001), we get a palindrome (112422224211).

The spelling of 100222002210 in words is "one hundred billion, two hundred twenty-two million, two thousand, two hundred ten".