100100002210 has 16 divisors (see below), whose sum is σ = 194040004536. Its totient is φ = 36960000768.

The previous prime is 100100002193. The next prime is 100100002241. The reversal of 100100002210 is 12200001001.

It can be written as a sum of positive squares in 4 ways, for example, as 54166511169 + 45933491041 = 232737^2 + 214321^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100100002193 and 100100002202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384999879 + ... + 385000138.

Almost surely, 2^100100002210 is an apocalyptic number.

100100002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100002210 is a deficient number, since it is larger than the sum of its proper divisors (93940002326).

100100002210 is a wasteful number, since it uses less digits than its factorization.

100100002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770000037.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100100002210 its reverse (12200001001), we get a palindrome (112300003211).

The spelling of 100100002210 in words is "one hundred billion, one hundred million, two thousand, two hundred ten".