98000010001001 has 8 divisors (see below), whose sum is σ = 98184157748040. Its totient is φ = 97815991621248.

The previous prime is 98000010000889. The next prime is 98000010001021. The reversal of 98000010001001 is 10010001000089.

It can be written as a sum of positive squares in 4 ways, for example, as 1271290075225 + 96728719925776 = 1127515^2 + 9835076^2 .

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 98000010001001 - 2²² = 98000005806697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98000010001021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30825266 + ... + 33855531.

It is an arithmetic number, because the mean of its divisors is an integer number (12273019718505).

Almost surely, 2^{98000010001001} is an apocalyptic number.

It is an amenable number.

98000010001001 is a deficient number, since it is larger than the sum of its proper divisors (184147747039).

98000010001001 is a wasteful number, since it uses less digits than its factorization.

98000010001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64683643.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 98000010001001 in words is "ninety-eight trillion, ten million, one thousand, one".