221011212100100 has 216 divisors, whose sum is σ = 536007910438728. Its totient is φ = 78814923264000.

The previous prime is 221011212100097. The next prime is 221011212100181. The reversal of 221011212100100 is 1001212110122.

It can be written as a sum of positive squares in 12 ways, for example, as 7071800836 + 221004140299264 = 84094^2 + 14866208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6076225514 + ... + 6076261886.

It is an arithmetic number, because the mean of its divisors is an integer number (2481518103883).

Almost surely, 2^{221011212100100} is an apocalyptic number.

221011212100100 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 221011212100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268003955219364).

221011212100100 is an abundant number, since it is smaller than the sum of its proper divisors (314996698338628).

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

221011212100100 is a wasteful number, since it uses less digits than its factorization.

221011212100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46343 (or 46317 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221011212100100 its reverse (1001212110122), we get a palindrome (222012424210222).

The spelling of 221011212100100 in words is "two hundred twenty-one trillion, eleven billion, two hundred twelve million, one hundred thousand, one hundred".