100102001101049 has 2 divisors, whose sum is σ = 100102001101050. Its totient is φ = 100102001101048.

The previous prime is 100102001101009. The next prime is 100102001101187. The reversal of 100102001101049 is 940101100201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70158046081600 + 29943955019449 = 8376040^2 + 5472107^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102001101049 - 2¹² = 100102001096953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100102001101049.

It is not a weakly prime, because it can be changed into another prime (100102001101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051000550524 + 50051000550525.

It is an arithmetic number, because the mean of its divisors is an integer number (50051000550525).

Almost surely, 2^{100102001101049} is an apocalyptic number.

It is an amenable number.

100102001101049 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102001101049 is an equidigital number, since it uses as much as digits as its factorization.

100102001101049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 100102001101049 in words is "one hundred trillion, one hundred two billion, one million, one hundred one thousand, forty-nine".