222000102100100 has 144 divisors (see below), whose sum is σ = 519743838046608. Its totient is φ = 81992991375360.

The previous prime is 222000102100099. The next prime is 222000102100223. The reversal of 222000102100100 is 1001201000222.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 141037285831744 + 80962816268356 = 11875912^2 + 8997934^2 .

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 47 ways as a sum of consecutive naturals, for example, 1199408762 + ... + 1199593838.

It is an arithmetic number, because the mean of its divisors is an integer number (3609332208657).

Almost surely, 2^{222000102100100} is an apocalyptic number.

222000102100100 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 222000102100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259871919023304).

222000102100100 is an abundant number, since it is smaller than the sum of its proper divisors (297743735946508).

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

222000102100100 is a wasteful number, since it uses less digits than its factorization.

222000102100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198474 (or 198467 counting only the distinct ones).

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

Adding to 222000102100100 its reverse (1001201000222), we get a palindrome (223001303100322).

The spelling of 222000102100100 in words is "two hundred twenty-two trillion, one hundred two million, one hundred thousand, one hundred".