20102100120101 has 16 divisors (see below), whose sum is σ = 22488106852800. Its totient is φ = 17857222472448.

The previous prime is 20102100120041. The next prime is 20102100120103. The reversal of 20102100120101 is 10102100120102.

It is a cyclic number.

It is not a de Polignac number, because 20102100120101 - 2¹⁰ = 20102100119077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102100120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115592675 + ... + 115766448.

It is an arithmetic number, because the mean of its divisors is an integer number (1405506678300).

Almost surely, 2^{20102100120101} is an apocalyptic number.

It is an amenable number.

20102100120101 is a deficient number, since it is larger than the sum of its proper divisors (2386006732699).

20102100120101 is a wasteful number, since it uses less digits than its factorization.

20102100120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231359428.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20102100120101 its reverse (10102100120102), we get a palindrome (30204200240203).

Subtracting from 20102100120101 its reverse (10102100120102), we obtain a palindrome (9999999999999).

The spelling of 20102100120101 in words is "twenty trillion, one hundred two billion, one hundred million, one hundred twenty thousand, one hundred one".