10201102022101 has 4 divisors (see below), whose sum is σ = 10235918070252. Its totient is φ = 10166285973952.

The previous prime is 10201102022047. The next prime is 10201102022117. The reversal of 10201102022101 is 10122020110201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9858350319601 + 342751702500 = 3139801^2 + 585450^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201102022101 - 2³³ = 10192512087509 is a prime.

It is a super-2 number, since 2×10201102022101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201102022141) 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 3 ways as a sum of consecutive naturals, for example, 17408023636 + ... + 17408024221.

It is an arithmetic number, because the mean of its divisors is an integer number (2558979517563).

Almost surely, 2^{10201102022101} is an apocalyptic number.

It is an amenable number.

10201102022101 is a deficient number, since it is larger than the sum of its proper divisors (34816048151).

10201102022101 is an equidigital number, since it uses as much as digits as its factorization.

10201102022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34816048150.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10201102022101 its reverse (10122020110201), we get a palindrome (20323122132302).

The spelling of 10201102022101 in words is "ten trillion, two hundred one billion, one hundred two million, twenty-two thousand, one hundred one".