2102313200101 has 2 divisors, whose sum is σ = 2102313200102. Its totient is φ = 2102313200100.

The previous prime is 2102313200047. The next prime is 2102313200107. The reversal of 2102313200101 is 1010023132012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1769671484100 + 332641716001 = 1330290^2 + 576751^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102313200101 - 2¹⁵ = 2102313167333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102313200107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051156600050 + 1051156600051.

It is an arithmetic number, because the mean of its divisors is an integer number (1051156600051).

Almost surely, 2^{2102313200101} is an apocalyptic number.

It is an amenable number.

2102313200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102313200101 is an equidigital number, since it uses as much as digits as its factorization.

2102313200101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2102313200101 its reverse (1010023132012), we get a palindrome (3112336332113).

The spelling of 2102313200101 in words is "two trillion, one hundred two billion, three hundred thirteen million, two hundred thousand, one hundred one".