222201001122100 has 1728 divisors, whose sum is σ = 676845815095296. Its totient is φ = 61587187200000.

The previous prime is 222201001122091. The next prime is 222201001122109. The reversal of 222201001122100 is 1221100102222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (222201001122091) and next prime (222201001122109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222201001122109) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 844870726569 + ... + 844870726831.

It is an arithmetic number, because the mean of its divisors is an integer number (391693180032).

Almost surely, 2^{222201001122100} is an apocalyptic number.

222201001122100 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 222201001122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338422907547648).

222201001122100 is an abundant number, since it is smaller than the sum of its proper divisors (454644813973196).

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

222201001122100 is a wasteful number, since it uses less digits than its factorization.

222201001122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222201001122100 its reverse (1221100102222), we get a palindrome (223422101224322).

The spelling of 222201001122100 in words is "two hundred twenty-two trillion, two hundred one billion, one million, one hundred twenty-two thousand, one hundred".