10102435202113 has 2 divisors, whose sum is σ = 10102435202114. Its totient is φ = 10102435202112.

The previous prime is 10102435202107. The next prime is 10102435202117. The reversal of 10102435202113 is 31120253420101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9810626724864 + 291808477249 = 3132192^2 + 540193^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102435202113 - 2⁹ = 10102435201601 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102435202117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051217601056 + 5051217601057.

It is an arithmetic number, because the mean of its divisors is an integer number (5051217601057).

Almost surely, 2^{10102435202113} is an apocalyptic number.

It is an amenable number.

10102435202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102435202113 is an equidigital number, since it uses as much as digits as its factorization.

10102435202113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 10102435202113 its reverse (31120253420101), we get a palindrome (41222688622214).

The spelling of 10102435202113 in words is "ten trillion, one hundred two billion, four hundred thirty-five million, two hundred two thousand, one hundred thirteen".