10010091010001 has 16 divisors (see below), whose sum is σ = 10414578370560. Its totient is φ = 9609579322560.

The previous prime is 10010091009973. The next prime is 10010091010057. The reversal of 10010091010001 is 10001019001001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010091010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010091019001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26175896 + ... + 26555558.

It is an arithmetic number, because the mean of its divisors is an integer number (650911148160).

Almost surely, 2^{10010091010001} is an apocalyptic number.

It is an amenable number.

10010091010001 is a deficient number, since it is larger than the sum of its proper divisors (404487360559).

10010091010001 is a wasteful number, since it uses less digits than its factorization.

10010091010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384896.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 10010091010001 in words is "ten trillion, ten billion, ninety-one million, ten thousand, one".