100010002210221 has 16 divisors (see below), whose sum is σ = 136160003049984. Its totient is φ = 65280001423104.

The previous prime is 100010002210127. The next prime is 100010002210243. The reversal of 100010002210221 is 122012200010001.

It is not a de Polignac number, because 100010002210221 - 2²⁷ = 100009867992493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010002210197 and 100010002210206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010002218221) 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 15 ways as a sum of consecutive naturals, for example, 1666636701 + ... + 1666696706.

It is an arithmetic number, because the mean of its divisors is an integer number (8510000190624).

Almost surely, 2^{100010002210221} is an apocalyptic number.

It is an amenable number.

100010002210221 is a deficient number, since it is larger than the sum of its proper divisors (36150000839763).

100010002210221 is a wasteful number, since it uses less digits than its factorization.

100010002210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333333620.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100010002210221 its reverse (122012200010001), we get a palindrome (222022202220222).

It can be divided in two parts, 10001000 and 2210221, that added together give a palindrome (12211221).

The spelling of 100010002210221 in words is "one hundred trillion, ten billion, two million, two hundred ten thousand, two hundred twenty-one".