10100011001001 has 16 divisors (see below), whose sum is σ = 14230065039360. Its totient is φ = 6359060307600.

The previous prime is 10100011000967. The next prime is 10100011001027. The reversal of 10100011001001 is 10010011000101.

10100011001001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100011001001 - 2¹⁰ = 10100010999977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100011009001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926431075 + ... + 926441976.

It is an arithmetic number, because the mean of its divisors is an integer number (889379064960).

Almost surely, 2^{10100011001001} is an apocalyptic number.

It is an amenable number.

10100011001001 is a deficient number, since it is larger than the sum of its proper divisors (4130054038359).

10100011001001 is a wasteful number, since it uses less digits than its factorization.

10100011001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852873156.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100011001001 its reverse (10010011000101), we get a palindrome (20110022001102).

The spelling of 10100011001001 in words is "ten trillion, one hundred billion, eleven million, one thousand, one".