100102133013349 has 2 divisors, whose sum is σ = 100102133013350. Its totient is φ = 100102133013348.

The previous prime is 100102133013331. The next prime is 100102133013361. The reversal of 100102133013349 is 943310331201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99536338704100 + 565794309249 = 9976790^2 + 752193^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102133013349 - 2⁴³ = 91306039991141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100102133013349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102133013149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051066506674 + 50051066506675.

It is an arithmetic number, because the mean of its divisors is an integer number (50051066506675).

Almost surely, 2^{100102133013349} is an apocalyptic number.

It is an amenable number.

100102133013349 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102133013349 is an equidigital number, since it uses as much as digits as its factorization.

100102133013349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 100102133013349 in words is "one hundred trillion, one hundred two billion, one hundred thirty-three million, thirteen thousand, three hundred forty-nine".