222100020020000 has 360 divisors, whose sum is σ = 600446479261860. Its totient is φ = 80730818560000.

The previous prime is 222100020019981. The next prime is 222100020020023. The reversal of 222100020020000 is 20020001222.

It can be written as a sum of positive squares in 30 ways, for example, as 74970592005136 + 147129428014864 = 8658556^2 + 12129692^2 .

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 59 ways as a sum of consecutive naturals, for example, 166957490 + ... + 168282510.

Almost surely, 2^{222100020020000} is an apocalyptic number.

222100020020000 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 222100020020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300223239630930).

222100020020000 is an abundant number, since it is smaller than the sum of its proper divisors (378346459241860).

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

222100020020000 is a wasteful number, since it uses less digits than its factorization.

222100020020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325114 (or 1325074 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 222100020020000 its reverse (20020001222), we get a palindrome (222120040021222).

The spelling of 222100020020000 in words is "two hundred twenty-two trillion, one hundred billion, twenty million, twenty thousand".