100221142068 has 36 divisors (see below), whose sum is σ = 253520345988. Its totient is φ = 33382840320.

The previous prime is 100221142067. The next prime is 100221142093. The reversal of 100221142068 is 860241122001.

100221142068 is a `hidden beast` number, since 10 + 0 + 221 + 1 + 420 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23653824804 + 76567317264 = 153798^2 + 276708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221142067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958221 + ... + 1057652.

It is an arithmetic number, because the mean of its divisors is an integer number (7042231833).

Almost surely, 2^100221142068 is an apocalyptic number.

100221142068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100221142068 is an abundant number, since it is smaller than the sum of its proper divisors (153299203920).

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

100221142068 is a wasteful number, since it uses less digits than its factorization.

100221142068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017264 (or 2017259 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 100221142068 its reverse (860241122001), we get a palindrome (960462264069).

The spelling of 100221142068 in words is "one hundred billion, two hundred twenty-one million, one hundred forty-two thousand, sixty-eight".