10000919100001 has 2 divisors, whose sum is σ = 10000919100002. Its totient is φ = 10000919100000.

The previous prime is 10000919099999. The next prime is 10000919100031. The reversal of 10000919100001 is 10000191900001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7336838995600 + 2664080104401 = 2708660^2 + 1632201^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000919100001 - 2¹ = 10000919099999 is a prime.

Together with 10000919099999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10000919100031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000459550000 + 5000459550001.

It is an arithmetic number, because the mean of its divisors is an integer number (5000459550001).

Almost surely, 2^{10000919100001} is an apocalyptic number.

It is an amenable number.

10000919100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000919100001 is an equidigital number, since it uses as much as digits as its factorization.

10000919100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 10000919100001 in words is "ten trillion, nine hundred nineteen million, one hundred thousand, one".