2100102812641 has 2 divisors, whose sum is σ = 2100102812642. Its totient is φ = 2100102812640.

The previous prime is 2100102812603. The next prime is 2100102812669. The reversal of 2100102812641 is 1462182010012.

It is an a-pointer prime, because the next prime (2100102812669) can be obtained adding 2100102812641 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1068527420416 + 1031575392225 = 1033696^2 + 1015665^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100102812641 - 2¹¹ = 2100102810593 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100102812141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050051406320 + 1050051406321.

It is an arithmetic number, because the mean of its divisors is an integer number (1050051406321).

Almost surely, 2^{2100102812641} is an apocalyptic number.

It is an amenable number.

2100102812641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100102812641 is an equidigital number, since it uses as much as digits as its factorization.

2100102812641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 2100102812641 its reverse (1462182010012), we get a palindrome (3562284822653).

The spelling of 2100102812641 in words is "two trillion, one hundred billion, one hundred two million, eight hundred twelve thousand, six hundred forty-one".