10100201122101 has 16 divisors (see below), whose sum is σ = 13473189739584. Its totient is φ = 6730340356224.

The previous prime is 10100201122097. The next prime is 10100201122171. The reversal of 10100201122101 is 10122110200101.

It is not a de Polignac number, because 10100201122101 - 2² = 10100201122097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100201122171) 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, 125971441 + ... + 126051593.

It is an arithmetic number, because the mean of its divisors is an integer number (842074358724).

Almost surely, 2^{10100201122101} is an apocalyptic number.

It is an amenable number.

10100201122101 is a deficient number, since it is larger than the sum of its proper divisors (3372988617483).

10100201122101 is a wasteful number, since it uses less digits than its factorization.

10100201122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99140.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100201122101 its reverse (10122110200101), we get a palindrome (20222311322202).

The spelling of 10100201122101 in words is "ten trillion, one hundred billion, two hundred one million, one hundred twenty-two thousand, one hundred one".