10091010009101 has 16 divisors (see below), whose sum is σ = 11563985452800. Its totient is φ = 8625887157888.

The previous prime is 10091010009061. The next prime is 10091010009131. The reversal of 10091010009101 is 10190001019001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-10091010009101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10091010009131) 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, 75989480 + ... + 76122158.

It is an arithmetic number, because the mean of its divisors is an integer number (722749090800).

Almost surely, 2^{10091010009101} is an apocalyptic number.

It is an amenable number.

10091010009101 is a deficient number, since it is larger than the sum of its proper divisors (1472975443699).

10091010009101 is a wasteful number, since it uses less digits than its factorization.

10091010009101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162188.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 10091010009101 in words is "ten trillion, ninety-one billion, ten million, nine thousand, one hundred one".