10010091919153 has 2 divisors, whose sum is σ = 10010091919154. Its totient is φ = 10010091919152.

The previous prime is 10010091918847. The next prime is 10010091919249. The reversal of 10010091919153 is 35191919001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7118826980769 + 2891264938384 = 2668113^2 + 1700372^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010091919153 - 2¹³ = 10010091910961 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010091919753) 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, 5005045959576 + 5005045959577.

It is an arithmetic number, because the mean of its divisors is an integer number (5005045959577).

Almost surely, 2^{10010091919153} is an apocalyptic number.

It is an amenable number.

10010091919153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010091919153 is an equidigital number, since it uses as much as digits as its factorization.

10010091919153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10935, while the sum is 40.

The spelling of 10010091919153 in words is "ten trillion, ten billion, ninety-one million, nine hundred nineteen thousand, one hundred fifty-three".