10201000212001 has 8 divisors (see below), whose sum is σ = 10207701287784. Its totient is φ = 10194299606400.

The previous prime is 10201000211993. The next prime is 10201000212083. The reversal of 10201000212001 is 10021200010201.

It can be written as a sum of positive squares in 4 ways, for example, as 521932557601 + 9679067654400 = 722449^2 + 3111120^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10201000212001 - 2³ = 10201000211993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201000212301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50348701 + ... + 50550901.

It is an arithmetic number, because the mean of its divisors is an integer number (1275962660973).

Almost surely, 2^{10201000212001} is an apocalyptic number.

It is an amenable number.

10201000212001 is a deficient number, since it is larger than the sum of its proper divisors (6701075783).

10201000212001 is a wasteful number, since it uses less digits than its factorization.

10201000212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235091.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10201000212001 its reverse (10021200010201), we get a palindrome (20222200222202).

The spelling of 10201000212001 in words is "ten trillion, two hundred one billion, two hundred twelve thousand, one".