901001110000111 has 8 divisors (see below), whose sum is σ = 923047155248400. Its totient is φ = 878958417533760.

The previous prime is 901001110000087. The next prime is 901001110000129. The reversal of 901001110000111 is 111000011100109.

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 901001110000111 - 2¹³ = 901001109991919 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 (901001110004111) 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, 837651441 + ... + 838726378.

It is an arithmetic number, because the mean of its divisors is an integer number (115380894406050).

Almost surely, 2^{901001110000111} is an apocalyptic number.

901001110000111 is a deficient number, since it is larger than the sum of its proper divisors (22046045248289).

901001110000111 is a wasteful number, since it uses less digits than its factorization.

901001110000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676390969.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 901001110000111 in words is "nine hundred one trillion, one billion, one hundred ten million, one hundred eleven", and thus it is an aban number.