9000100010101 has 8 divisors (see below), whose sum is σ = 9571131276120. Its totient is φ = 8433692479488.

The previous prime is 9000100010063. The next prime is 9000100010107. The reversal of 9000100010101 is 1010100010009.

It can be written as a sum of positive squares in 4 ways, for example, as 6649183117201 + 2350916892900 = 2578601^2 + 1533270^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9000100010101 - 2⁷ = 9000100009973 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 (9000100010107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1155929836 + ... + 1155937621.

It is an arithmetic number, because the mean of its divisors is an integer number (1196391409515).

Almost surely, 2^{9000100010101} is an apocalyptic number.

It is an amenable number.

9000100010101 is a deficient number, since it is larger than the sum of its proper divisors (571031266019).

9000100010101 is a wasteful number, since it uses less digits than its factorization.

9000100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311867703.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 9000100010101 in words is "nine trillion, one hundred million, ten thousand, one hundred one".