221202122102100 has 54 divisors (see below), whose sum is σ = 693345762725070. Its totient is φ = 58987232560320.

The previous prime is 221202122102083. The next prime is 221202122102131. The reversal of 221202122102100 is 1201221202122.

It is a happy number.

221202122102100 is a `hidden beast` number, since 2 + 212 + 0 + 21 + 221 + 0 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4355410389444 + 216846711712656 = 2086962^2 + 14725716^2 .

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122890066935 + ... + 122890068734.

Almost surely, 2^{221202122102100} is an apocalyptic number.

221202122102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202122102100 is an abundant number, since it is smaller than the sum of its proper divisors (472143640622970).

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

221202122102100 is a wasteful number, since it uses less digits than its factorization.

221202122102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245780135689 (or 245780135679 counting only the distinct ones).

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

Adding to 221202122102100 its reverse (1201221202122), we get a palindrome (222403343304222).

The spelling of 221202122102100 in words is "two hundred twenty-one trillion, two hundred two billion, one hundred twenty-two million, one hundred two thousand, one hundred".