210102100201001 has 2 divisors, whose sum is σ = 210102100201002. Its totient is φ = 210102100201000.

The previous prime is 210102100200991. The next prime is 210102100201111. The reversal of 210102100201001 is 100102001201012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152788115841001 + 57313984360000 = 12360749^2 + 7570600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-210102100201001 is a prime.

It is not a weakly prime, because it can be changed into another prime (210102100201501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105051050100500 + 105051050100501.

It is an arithmetic number, because the mean of its divisors is an integer number (105051050100501).

Almost surely, 2^{210102100201001} is an apocalyptic number.

It is an amenable number.

210102100201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

210102100201001 is an equidigital number, since it uses as much as digits as its factorization.

210102100201001 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 210102100201001 its reverse (100102001201012), we get a palindrome (310204101402013).

The spelling of 210102100201001 in words is "two hundred ten trillion, one hundred two billion, one hundred million, two hundred one thousand, one".