100210012012001 has 2 divisors, whose sum is σ = 100210012012002. Its totient is φ = 100210012012000.

The previous prime is 100210012011959. The next prime is 100210012012063. The reversal of 100210012012001 is 100210210012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76178839346401 + 24031172665600 = 8728049^2 + 4902160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100210012012001 is a prime.

It is not a weakly prime, because it can be changed into another prime (100210012012301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105006006000 + 50105006006001.

It is an arithmetic number, because the mean of its divisors is an integer number (50105006006001).

Almost surely, 2^{100210012012001} is an apocalyptic number.

It is an amenable number.

100210012012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210012012001 is an equidigital number, since it uses as much as digits as its factorization.

100210012012001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100210012012001 its reverse (100210210012001), we get a palindrome (200420222024002).

The spelling of 100210012012001 in words is "one hundred trillion, two hundred ten billion, twelve million, twelve thousand, one".