221202201220100 has 72 divisors (see below), whose sum is σ = 482455018168200. Its totient is φ = 88029978373120.

The previous prime is 221202201220079. The next prime is 221202201220127. The reversal of 221202201220100 is 1022102202122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 26257999553536 + 194944201666564 = 5124256^2 + 13962242^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1480360592 + ... + 1480510008.

It is an arithmetic number, because the mean of its divisors is an integer number (6700764141225).

Almost surely, 2^{221202201220100} is an apocalyptic number.

221202201220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202201220100 is an abundant number, since it is smaller than the sum of its proper divisors (261252816948100).

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

221202201220100 is a wasteful number, since it uses less digits than its factorization.

221202201220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224777 (or 224770 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221202201220100 its reverse (1022102202122), we get a palindrome (222224303422222).

The spelling of 221202201220100 in words is "two hundred twenty-one trillion, two hundred two billion, two hundred one million, two hundred twenty thousand, one hundred".