1000110002001 has 16 divisors (see below), whose sum is σ = 1454725821888. Its totient is φ = 606118788800.

The previous prime is 1000110001991. The next prime is 1000110002009. The reversal of 1000110002001 is 1002000110001.

It is a cyclic number.

It is not a de Polignac number, because 1000110002001 - 2⁷ = 1000110001873 is a prime.

It is a super-2 number, since 2×1000110002001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000110002009) 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, 2833591 + ... + 3166931.

It is an arithmetic number, because the mean of its divisors is an integer number (90920363868).

Almost surely, 2^{1000110002001} is an apocalyptic number.

1000110002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000110002001 is a deficient number, since it is larger than the sum of its proper divisors (454615819887).

1000110002001 is a wasteful number, since it uses less digits than its factorization.

1000110002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424272.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1000110002001 its reverse (1002000110001), we get a palindrome (2002110112002).

The spelling of 1000110002001 in words is "one trillion, one hundred ten million, two thousand, one".