100210221221001 has 64 divisors (see below), whose sum is σ = 144178674140160. Its totient is φ = 61685770065920.

The previous prime is 100210221220969. The next prime is 100210221221041. The reversal of 100210221221001 is 100122122012001.

It is not a de Polignac number, because 100210221221001 - 2⁵ = 100210221220969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100210221221041) 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 63 ways as a sum of consecutive naturals, for example, 5329471066 + ... + 5329489868.

It is an arithmetic number, because the mean of its divisors is an integer number (2252791783440).

Almost surely, 2^{100210221221001} is an apocalyptic number.

It is an amenable number.

100210221221001 is a deficient number, since it is larger than the sum of its proper divisors (43968452919159).

100210221221001 is a wasteful number, since it uses less digits than its factorization.

100210221221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28006.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100210221221001 its reverse (100122122012001), we get a palindrome (200332343233002).

The spelling of 100210221221001 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-one million, two hundred twenty-one thousand, one".