10000010212001 has 16 divisors (see below), whose sum is σ = 10205855271360. Its totient is φ = 9796499052480.

The previous prime is 10000010211943. The next prime is 10000010212019. The reversal of 10000010212001 is 10021201000001.

It is a cyclic number.

It is not a de Polignac number, because 10000010212001 - 2²² = 10000006017697 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 10000010212001.

It is not an unprimeable number, because it can be changed into a prime (10000010212081) 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 in 15 ways as a sum of consecutive naturals, for example, 4523291 + ... + 6360831.

It is an arithmetic number, because the mean of its divisors is an integer number (637865954460).

Almost surely, 2^{10000010212001} is an apocalyptic number.

It is an amenable number.

10000010212001 is a deficient number, since it is larger than the sum of its proper divisors (205845059359).

10000010212001 is a wasteful number, since it uses less digits than its factorization.

10000010212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838176.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000010212001 its reverse (10021201000001), we get a palindrome (20021211212002).

The spelling of 10000010212001 in words is "ten trillion, ten million, two hundred twelve thousand, one".