221220212222100 has 1152 divisors, whose sum is σ = 812646742835200. Its totient is φ = 45228699648000.

The previous prime is 221220212222081. The next prime is 221220212222111. The reversal of 221220212222100 is 1222212022122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34133650860 + ... + 34133657340.

Almost surely, 2^{221220212222100} is an apocalyptic number.

221220212222100 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 221220212222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406323371417600).

221220212222100 is an abundant number, since it is smaller than the sum of its proper divisors (591426530613100).

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

221220212222100 is a wasteful number, since it uses less digits than its factorization.

221220212222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6881 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221220212222100 its reverse (1222212022122), we get a palindrome (222442424244222).

The spelling of 221220212222100 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred twelve million, two hundred twenty-two thousand, one hundred".