10111001102001 has 24 divisors (see below), whose sum is σ = 15076174613760. Its totient is φ = 6523108250400.

The previous prime is 10111001101969. The next prime is 10111001102009. The reversal of 10111001102001 is 10020110011101.

It is not a de Polignac number, because 10111001102001 - 2⁵ = 10111001101969 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 (10111001102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16659211 + ... + 17255471.

It is an arithmetic number, because the mean of its divisors is an integer number (628173942240).

Almost surely, 2^{10111001102001} is an apocalyptic number.

It is an amenable number.

10111001102001 is a deficient number, since it is larger than the sum of its proper divisors (4965173511759).

10111001102001 is a wasteful number, since it uses less digits than its factorization.

10111001102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657077 (or 657074 counting only the distinct ones).

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

Adding to 10111001102001 its reverse (10020110011101), we get a palindrome (20131111113102).

The spelling of 10111001102001 in words is "ten trillion, one hundred eleven billion, one million, one hundred two thousand, one".