2102413002101 has 2 divisors, whose sum is σ = 2102413002102. Its totient is φ = 2102413002100.

The previous prime is 2102413002031. The next prime is 2102413002127. The reversal of 2102413002101 is 1012003142012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1952589817201 + 149823184900 = 1397351^2 + 387070^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102413002101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2102413002101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102413002191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051206501050 + 1051206501051.

It is an arithmetic number, because the mean of its divisors is an integer number (1051206501051).

Almost surely, 2^{2102413002101} is an apocalyptic number.

It is an amenable number.

2102413002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102413002101 is an equidigital number, since it uses as much as digits as its factorization.

2102413002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2102413002101 its reverse (1012003142012), we get a palindrome (3114416144113).

The spelling of 2102413002101 in words is "two trillion, one hundred two billion, four hundred thirteen million, two thousand, one hundred one".