10000201022101 has 16 divisors (see below), whose sum is σ = 10440269280000. Its totient is φ = 9560573751168.

The previous prime is 10000201022069. The next prime is 10000201022107. The reversal of 10000201022101 is 10122010200001.

It is not a de Polignac number, because 10000201022101 - 2⁵ = 10000201022069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000201022107) 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 15 ways as a sum of consecutive naturals, for example, 600640425 + ... + 600657073.

It is an arithmetic number, because the mean of its divisors is an integer number (652516830000).

Almost surely, 2^{10000201022101} is an apocalyptic number.

It is an amenable number.

10000201022101 is a deficient number, since it is larger than the sum of its proper divisors (440068257899).

10000201022101 is a wasteful number, since it uses less digits than its factorization.

10000201022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28308.

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

Adding to 10000201022101 its reverse (10122010200001), we get a palindrome (20122211222102).

The spelling of 10000201022101 in words is "ten trillion, two hundred one million, twenty-two thousand, one hundred one".