100210002001 has 16 divisors (see below), whose sum is σ = 102139804800. Its totient is φ = 98303304960.

The previous prime is 100210001993. The next prime is 100210002037. The reversal of 100210002001 is 100200012001.

It is a cyclic number.

It is not a de Polignac number, because 100210002001 - 2³ = 100210001993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100210002071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4754356 + ... + 4775386.

It is an arithmetic number, because the mean of its divisors is an integer number (6383737800).

Almost surely, 2^100210002001 is an apocalyptic number.

It is an amenable number.

100210002001 is a deficient number, since it is larger than the sum of its proper divisors (1929802799).

100210002001 is a wasteful number, since it uses less digits than its factorization.

100210002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21576.

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

Adding to 100210002001 its reverse (100200012001), we get a palindrome (200410014002).

The spelling of 100210002001 in words is "one hundred billion, two hundred ten million, two thousand, one".