2101311002101 has 12 divisors (see below), whose sum is σ = 2108000655936. Its totient is φ = 2094638043960.

The previous prime is 2101311002099. The next prime is 2101311002107. The reversal of 2101311002101 is 1012001131012.

It is a happy number.

It is not a de Polignac number, because 2101311002101 - 2¹ = 2101311002099 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 (2101311002107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271940100 + ... + 271947826.

It is an arithmetic number, because the mean of its divisors is an integer number (175666721328).

Almost surely, 2^{2101311002101} is an apocalyptic number.

It is an amenable number.

2101311002101 is a deficient number, since it is larger than the sum of its proper divisors (6689653835).

2101311002101 is an frugal number, since it uses more digits than its factorization.

2101311002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672 (or 9041 counting only the distinct ones).

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

Adding to 2101311002101 its reverse (1012001131012), we get a palindrome (3113312133113).

The spelling of 2101311002101 in words is "two trillion, one hundred one billion, three hundred eleven million, two thousand, one hundred one".