10010100100091 has 48 divisors (see below), whose sum is σ = 13042254816000. Its totient is φ = 7501824180864.

The previous prime is 10010100100087. The next prime is 10010100100103. The reversal of 10010100100091 is 19000100101001.

It is a happy number.

It is not a de Polignac number, because 10010100100091 - 2² = 10010100100087 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010100100031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128462060 + ... + 128539958.

It is an arithmetic number, because the mean of its divisors is an integer number (271713642000).

Almost surely, 2^{10010100100091} is an apocalyptic number.

10010100100091 is a deficient number, since it is larger than the sum of its proper divisors (3032154715909).

10010100100091 is a wasteful number, since it uses less digits than its factorization.

10010100100091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83668 (or 83655 counting only the distinct ones).

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

Adding to 10010100100091 its reverse (19000100101001), we get a palindrome (29010200201092).

The spelling of 10010100100091 in words is "ten trillion, ten billion, one hundred million, one hundred thousand, ninety-one".