100010200221 has 24 divisors (see below), whose sum is σ = 149142599424. Its totient is φ = 64512564480.

The previous prime is 100010200217. The next prime is 100010200237. The reversal of 100010200221 is 122002010001.

It is not a de Polignac number, because 100010200221 - 2² = 100010200217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010200261) 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 23 ways as a sum of consecutive naturals, for example, 2014125 + ... + 2063181.

It is an arithmetic number, because the mean of its divisors is an integer number (6214274976).

Almost surely, 2^100010200221 is an apocalyptic number.

It is an amenable number.

100010200221 is a deficient number, since it is larger than the sum of its proper divisors (49132399203).

100010200221 is a wasteful number, since it uses less digits than its factorization.

100010200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56401 (or 56398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100010200221 its reverse (122002010001), we get a palindrome (222012210222).

The spelling of 100010200221 in words is "one hundred billion, ten million, two hundred thousand, two hundred twenty-one".