10011091919201 has 16 divisors (see below), whose sum is σ = 10604121480000. Its totient is φ = 9418523432448.

The previous prime is 10011091919189. The next prime is 10011091919203. The reversal of 10011091919201 is 10291919011001.

It is not a de Polignac number, because 10011091919201 - 2⁶ = 10011091919137 is a prime.

It is a super-2 number, since 2×10011091919201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011091919203) 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, 741610550 + ... + 741624048.

It is an arithmetic number, because the mean of its divisors is an integer number (662757592500).

Almost surely, 2^{10011091919201} is an apocalyptic number.

It is an amenable number.

10011091919201 is a deficient number, since it is larger than the sum of its proper divisors (593029560799).

10011091919201 is a wasteful number, since it uses less digits than its factorization.

10011091919201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27328.

The product of its (nonzero) digits is 1458, while the sum is 35.

The spelling of 10011091919201 in words is "ten trillion, eleven billion, ninety-one million, nine hundred nineteen thousand, two hundred one".