221121020222100 has 108 divisors (see below), whose sum is σ = 693147442334620. Its totient is φ = 58960850572800.

The previous prime is 221121020222059. The next prime is 221121020222111. The reversal of 221121020222100 is 1222020121122.

It is a happy number.

221121020222100 is a `hidden beast` number, since 2 + 211 + 210 + 20 + 2 + 221 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 48802156109316 + 172318864112784 = 6985854^2 + 13127028^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1268430 + ... + 21067770.

Almost surely, 2^{221121020222100} is an apocalyptic number.

221121020222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121020222100 is an abundant number, since it is smaller than the sum of its proper divisors (472026422112520).

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

221121020222100 is a wasteful number, since it uses less digits than its factorization.

221121020222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19811770 (or 19811760 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221121020222100 its reverse (1222020121122), we get a palindrome (222343040343222).

The spelling of 221121020222100 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, twenty million, two hundred twenty-two thousand, one hundred".