100010210001601 has 2 divisors, whose sum is σ = 100010210001602. Its totient is φ = 100010210001600.

The previous prime is 100010210001553. The next prime is 100010210001613. The reversal of 100010210001601 is 106100012010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100010100255025 + 109746576 = 10000505^2 + 10476^2 .

It is an emirp because it is prime and its reverse (106100012010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100010210001601 - 2¹⁹ = 100010209477313 is a prime.

It is a super-3 number, since 3×100010210001601³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100010210001901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005105000800 + 50005105000801.

It is an arithmetic number, because the mean of its divisors is an integer number (50005105000801).

Almost surely, 2^{100010210001601} is an apocalyptic number.

It is an amenable number.

100010210001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010210001601 is an equidigital number, since it uses as much as digits as its factorization.

100010210001601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100010210001601 its reverse (106100012010001), we get a palindrome (206110222011602).

The spelling of 100010210001601 in words is "one hundred trillion, ten billion, two hundred ten million, one thousand, six hundred one".