10000010091101 has 2 divisors, whose sum is σ = 10000010091102. Its totient is φ = 10000010091100.

The previous prime is 10000010091091. The next prime is 10000010091131. The reversal of 10000010091101 is 10119001000001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7662383146201 + 2337626944900 = 2768101^2 + 1528930^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000010091101 - 2³⁰ = 9998936349277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000010091131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005045550 + 5000005045551.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005045551).

Almost surely, 2^{10000010091101} is an apocalyptic number.

It is an amenable number.

10000010091101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000010091101 is an equidigital number, since it uses as much as digits as its factorization.

10000010091101 is an evil number, because the sum of its binary digits is even.

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

Adding to 10000010091101 its reverse (10119001000001), we get a palindrome (20119011091102).

The spelling of 10000010091101 in words is "ten trillion, ten million, ninety-one thousand, one hundred one".