222101002100 has 72 divisors (see below), whose sum is σ = 486863213760. Its totient is φ = 87937803520.

The previous prime is 222101002063. The next prime is 222101002121. The reversal of 222101002100 is 1200101222.

It is a happy number.

222101002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14105432 + ... + 14121168.

It is an arithmetic number, because the mean of its divisors is an integer number (6761989080).

Almost surely, 2^222101002100 is an apocalyptic number.

222101002100 is a gapful number since it is divisible by the number (20) 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 222101002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243431606880).

222101002100 is an abundant number, since it is smaller than the sum of its proper divisors (264762211660).

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

222101002100 is a wasteful number, since it uses less digits than its factorization.

222101002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17177 (or 17170 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 222101002100 its reverse (1200101222), we get a palindrome (223301103322).

The spelling of 222101002100 in words is "two hundred twenty-two billion, one hundred one million, two thousand, one hundred".