222010222001000 has 128 divisors (see below), whose sum is σ = 528077808236160. Its totient is φ = 87342590016000.

The previous prime is 222010222000991. The next prime is 222010222001003. The reversal of 222010222001000 is 100222010222.

It is not an unprimeable number, because it can be changed into a prime (222010222001003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40504340 + ... + 45657660.

It is an arithmetic number, because the mean of its divisors is an integer number (4125607876845).

Almost surely, 2^{222010222001000} is an apocalyptic number.

222010222001000 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 222010222001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264038904118080).

222010222001000 is an abundant number, since it is smaller than the sum of its proper divisors (306067586235160).

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

222010222001000 is a wasteful number, since it uses less digits than its factorization.

222010222001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154052 (or 5154038 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222010222001000 its reverse (100222010222), we get a palindrome (222110444011222).

The spelling of 222010222001000 in words is "two hundred twenty-two trillion, ten billion, two hundred twenty-two million, one thousand".