10100021011001 has 2 divisors, whose sum is σ = 10100021011002. Its totient is φ = 10100021011000.

The previous prime is 10100021010991. The next prime is 10100021011033. The reversal of 10100021011001 is 10011012000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7901692890025 + 2198328120976 = 2810995^2 + 1482676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100021011001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100021011001.

It is not a weakly prime, because it can be changed into another prime (10100021019001) 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 as a sum of consecutive naturals, namely, 5050010505500 + 5050010505501.

It is an arithmetic number, because the mean of its divisors is an integer number (5050010505501).

Almost surely, 2^{10100021011001} is an apocalyptic number.

It is an amenable number.

10100021011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100021011001 is an equidigital number, since it uses as much as digits as its factorization.

10100021011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100021011001 its reverse (10011012000101), we get a palindrome (20111033011102).

The spelling of 10100021011001 in words is "ten trillion, one hundred billion, twenty-one million, eleven thousand, one".