100210000001 has 8 divisors (see below), whose sum is σ = 102185832744. Its totient is φ = 98237318400.

The previous prime is 100209999979. The next prime is 100210000019. The reversal of 100210000001 is 100000012001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1044840976 + 99165159025 = 32324^2 + 314905^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100210000001 - 2²² = 100205805697 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100210000001.

It is not an unprimeable number, because it can be changed into a prime (100210000901) 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 7 ways as a sum of consecutive naturals, for example, 723506 + ... + 850811.

It is an arithmetic number, because the mean of its divisors is an integer number (12773229093).

Almost surely, 2^100210000001 is an apocalyptic number.

It is an amenable number.

100210000001 is a deficient number, since it is larger than the sum of its proper divisors (1975832743).

100210000001 is a wasteful number, since it uses less digits than its factorization.

100210000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575571.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100210000001 its reverse (100000012001), we get a palindrome (200210012002).

The spelling of 100210000001 in words is "one hundred billion, two hundred ten million, one", and thus it is an aban number.