221202012212100 has 432 divisors, whose sum is σ = 735454726166160. Its totient is φ = 55417312051200.

The previous prime is 221202012212017. The next prime is 221202012212101. The reversal of 221202012212100 is 1212210202122.

It is a happy number.

221202012212100 is a `hidden beast` number, since 2 + 212 + 0 + 20 + 1 + 221 + 210 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 155291125635396 + 65910886576704 = 12461586^2 + 8118552^2 .

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

It is not an unprimeable number, because it can be changed into a prime (221202012212101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 24114463114 + ... + 24114472286.

It is an arithmetic number, because the mean of its divisors is an integer number (1702441495755).

Almost surely, 2^{221202012212100} is an apocalyptic number.

221202012212100 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 221202012212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367727363083080).

221202012212100 is an abundant number, since it is smaller than the sum of its proper divisors (514252713954060).

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

221202012212100 is a wasteful number, since it uses less digits than its factorization.

221202012212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11880 (or 11870 counting only the distinct ones).

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

Adding to 221202012212100 its reverse (1212210202122), we get a palindrome (222414222414222).

The spelling of 221202012212100 in words is "two hundred twenty-one trillion, two hundred two billion, twelve million, two hundred twelve thousand, one hundred".