8901010001 has 8 divisors (see below), whose sum is σ = 9588477864. Its totient is φ = 8213938560.

The previous prime is 8901009961. The next prime is 8901010003. The reversal of 8901010001 is 1000101098.

It can be written as a sum of positive squares in 4 ways, for example, as 330694225 + 8570315776 = 18185^2 + 92576^2 .

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 8901010001 - 2⁶ = 8901009937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8901010003) 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, 51620 + ... + 143061.

It is an arithmetic number, because the mean of its divisors is an integer number (1198559733).

Almost surely, 2^8901010001 is an apocalyptic number.

It is an amenable number.

8901010001 is a deficient number, since it is larger than the sum of its proper divisors (687467863).

8901010001 is a wasteful number, since it uses less digits than its factorization.

8901010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198211.

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

The square root of 8901010001 is about 94345.1641632999. The cubic root of 8901010001 is about 2072.4294874791.

Adding to 8901010001 its reverse (1000101098), we get a palindrome (9901111099).

The spelling of 8901010001 in words is "eight billion, nine hundred one million, ten thousand, one".