1010100091001 has 4 divisors (see below), whose sum is σ = 1010102140404. Its totient is φ = 1010098041600.

The previous prime is 1010100090997. The next prime is 1010100091019. The reversal of 1010100091001 is 1001900010101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 668020155625 + 342079935376 = 817325^2 + 584876^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010100091001 - 2² = 1010100090997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010100091051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212681 + ... + 1437161.

It is an arithmetic number, because the mean of its divisors is an integer number (252525535101).

Almost surely, 2^{1010100091001} is an apocalyptic number.

It is an amenable number.

1010100091001 is a deficient number, since it is larger than the sum of its proper divisors (2049403).

1010100091001 is an equidigital number, since it uses as much as digits as its factorization.

1010100091001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049402.

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

The spelling of 1010100091001 in words is "one trillion, ten billion, one hundred million, ninety-one thousand, one".