10101011002001 has 4 divisors (see below), whose sum is σ = 10101018214452. Its totient is φ = 10101003789552.

The previous prime is 10101011001953. The next prime is 10101011002037. The reversal of 10101011002001 is 10020011010101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 3420931379776 + 6680079622225 = 1849576^2 + 2584585^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101011002001 - 2²⁶ = 10100943893137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10101011002001.

It is not an unprimeable number, because it can be changed into a prime (10101011002501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 752990 + ... + 4557303.

It is an arithmetic number, because the mean of its divisors is an integer number (2525254553613).

Almost surely, 2^{10101011002001} is an apocalyptic number.

It is an amenable number.

10101011002001 is a deficient number, since it is larger than the sum of its proper divisors (7212451).

10101011002001 is an equidigital number, since it uses as much as digits as its factorization.

10101011002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212450.

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

Adding to 10101011002001 its reverse (10020011010101), we get a palindrome (20121022012102).

It can be divided in two parts, 1010101 and 1002001, that multiplied together give a palindrome (1012122212101).

The spelling of 10101011002001 in words is "ten trillion, one hundred one billion, eleven million, two thousand, one".