221000210010100 has 36 divisors (see below), whose sum is σ = 496107367994700. Its totient is φ = 85351805244160.

The previous prime is 221000210010017. The next prime is 221000210010109. The reversal of 221000210010100 is 1010012000122.

It can be written as a sum of positive squares in 6 ways, for example, as 6111466291044 + 214888743719056 = 2472138^2 + 14659084^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000210010109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38103481585 + ... + 38103487384.

It is an arithmetic number, because the mean of its divisors is an integer number (13780760222075).

Almost surely, 2^{221000210010100} is an apocalyptic number.

221000210010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000210010100 is an abundant number, since it is smaller than the sum of its proper divisors (275107157984600).

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

221000210010100 is a wasteful number, since it uses less digits than its factorization.

221000210010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76206969012 (or 76206969005 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221000210010100 its reverse (1010012000122), we get a palindrome (222010222010222).

The spelling of 221000210010100 in words is "two hundred twenty-one trillion, two hundred ten million, ten thousand, one hundred".