2100101321101 has 16 divisors (see below), whose sum is σ = 2585192051200. Its totient is φ = 1665686233008.

The previous prime is 2100101321099. The next prime is 2100101321141. The reversal of 2100101321101 is 1011231010012.

It is a happy number.

It is not a de Polignac number, because 2100101321101 - 2¹ = 2100101321099 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 (2100101321141) 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, 183601671 + ... + 183613108.

It is an arithmetic number, because the mean of its divisors is an integer number (161574503200).

Almost surely, 2^{2100101321101} is an apocalyptic number.

It is an amenable number.

2100101321101 is a deficient number, since it is larger than the sum of its proper divisors (485090730099).

2100101321101 is a wasteful number, since it uses less digits than its factorization.

2100101321101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367214848.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2100101321101 its reverse (1011231010012), we get a palindrome (3111332331113).

The spelling of 2100101321101 in words is "two trillion, one hundred billion, one hundred one million, three hundred twenty-one thousand, one hundred one".