1001111102001 has 80 divisors (see below), whose sum is σ = 1614204941184. Its totient is φ = 615963419136.

The previous prime is 1001111101997. The next prime is 1001111102003. The reversal of 1001111102001 is 1002011111001.

1001111102001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001111102001 - 2² = 1001111101997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001111102003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 263240566 + ... + 263244368.

Almost surely, 2^{1001111102001} is an apocalyptic number.

It is an amenable number.

1001111102001 is a deficient number, since it is larger than the sum of its proper divisors (613093839183).

1001111102001 is a wasteful number, since it uses less digits than its factorization.

1001111102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7492 (or 7483 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001111102001 its reverse (1002011111001), we get a palindrome (2003122213002).

The spelling of 1001111102001 in words is "one trillion, one billion, one hundred eleven million, one hundred two thousand, one".