100210011001 has 2 divisors, whose sum is σ = 100210011002. Its totient is φ = 100210011000.

The previous prime is 100210010983. The next prime is 100210011043. The reversal of 100210011001 is 100110012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73091826025 + 27118184976 = 270355^2 + 164676^2 .

It is an emirp because it is prime and its reverse (100110012001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100210011001 - 2⁹ = 100210010489 is a prime.

It is not a weakly prime, because it can be changed into another prime (100210011091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105005500 + 50105005501.

It is an arithmetic number, because the mean of its divisors is an integer number (50105005501).

Almost surely, 2^100210011001 is an apocalyptic number.

It is an amenable number.

100210011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210011001 is an equidigital number, since it uses as much as digits as its factorization.

100210011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100210011001 its reverse (100110012001), we get a palindrome (200320023002).

It can be divided in two parts, 1002100 and 11001, that added together give a palindrome (1013101).

The spelling of 100210011001 in words is "one hundred billion, two hundred ten million, eleven thousand, one".