9102001000001 has 24 divisors (see below), whose sum is σ = 11403719256384. Its totient is φ = 7200817414560.

The previous prime is 9102000999983. The next prime is 9102001000003. The reversal of 9102001000001 is 1000001002019.

It is not a de Polignac number, because 9102001000001 - 2¹⁸ = 9102000737857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9102001000001.

It is not an unprimeable number, because it can be changed into a prime (9102001000003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5272946 + ... + 6782916.

It is an arithmetic number, because the mean of its divisors is an integer number (475154969016).

Almost surely, 2^{9102001000001} is an apocalyptic number.

9102001000001 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9102001000001 is a deficient number, since it is larger than the sum of its proper divisors (2301718256383).

9102001000001 is a wasteful number, since it uses less digits than its factorization.

9102001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519461 (or 1519454 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 9102001000001 in words is "nine trillion, one hundred two billion, one million, one", and thus it is an aban number.