221122101010100 has 18 divisors (see below), whose sum is σ = 479834959192134. Its totient is φ = 88448840404000.

The previous prime is 221122101010067. The next prime is 221122101010163. The reversal of 221122101010100 is 1010101221122.

It can be written as a sum of positive squares in 3 ways, for example, as 19447905960484 + 201674195049616 = 4409978^2 + 14201204^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1105610504951 + ... + 1105610505150.

Almost surely, 2^{221122101010100} is an apocalyptic number.

221122101010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122101010100 is an abundant number, since it is smaller than the sum of its proper divisors (258712858182034).

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

221122101010100 is a wasteful number, since it uses less digits than its factorization.

221122101010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211221010115 (or 2211221010108 counting only the distinct ones).

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

Adding to 221122101010100 its reverse (1010101221122), we get a palindrome (222132202231222).

The spelling of 221122101010100 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred one million, ten thousand, one hundred".