1010009101001 has 4 divisors (see below), whose sum is σ = 1010404101252. Its totient is φ = 1009614100752.

The previous prime is 1010009100983. The next prime is 1010009101069. The reversal of 1010009101001 is 1001019000101.

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 448632040000 + 561377061001 = 669800^2 + 749251^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010009101001 - 2¹⁸ = 1010008838857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1010009101081) 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, 197496290 + ... + 197501403.

It is an arithmetic number, because the mean of its divisors is an integer number (252601025313).

Almost surely, 2^{1010009101001} is an apocalyptic number.

It is an amenable number.

1010009101001 is a deficient number, since it is larger than the sum of its proper divisors (395000251).

1010009101001 is an equidigital number, since it uses as much as digits as its factorization.

1010009101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395000250.

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

The spelling of 1010009101001 in words is "one trillion, ten billion, nine million, one hundred one thousand, one".