10201003321101 has 32 divisors (see below), whose sum is σ = 13841346478080. Its totient is φ = 6680944670400.

The previous prime is 10201003321087. The next prime is 10201003321123. The reversal of 10201003321101 is 10112330010201.

It is a happy number.

It is not a de Polignac number, because 10201003321101 - 2¹³ = 10201003312909 is a prime.

It is a super-2 number, since 2×10201003321101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201003322101) 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 31 ways as a sum of consecutive naturals, for example, 539184120 + ... + 539203038.

It is an arithmetic number, because the mean of its divisors is an integer number (432542077440).

Almost surely, 2^{10201003321101} is an apocalyptic number.

It is an amenable number.

10201003321101 is a deficient number, since it is larger than the sum of its proper divisors (3640343156979).

10201003321101 is a wasteful number, since it uses less digits than its factorization.

10201003321101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22457.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10201003321101 its reverse (10112330010201), we get a palindrome (20313333331302).

The spelling of 10201003321101 in words is "ten trillion, two hundred one billion, three million, three hundred twenty-one thousand, one hundred one".