900101111110001 has 4 divisors (see below), whose sum is σ = 900744500040000. Its totient is φ = 899457722180004.

The previous prime is 900101111109971. The next prime is 900101111110049. The reversal of 900101111110001 is 100011111101009.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-900101111110001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900101110110001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 321694462901 + ... + 321694465698.

It is an arithmetic number, because the mean of its divisors is an integer number (225186125010000).

Almost surely, 2^{900101111110001} is an apocalyptic number.

It is an amenable number.

900101111110001 is a deficient number, since it is larger than the sum of its proper divisors (643388929999).

900101111110001 is a wasteful number, since it uses less digits than its factorization.

900101111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643388929998.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 900101111110001 in words is "nine hundred trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, one".