1002000110001 has 32 divisors (see below), whose sum is σ = 1458900495360. Its totient is φ = 606670766400.

The previous prime is 1002000109939. The next prime is 1002000110021. The reversal of 1002000110001 is 1000110002001.

It is not a de Polignac number, because 1002000110001 - 2²¹ = 1001998012849 is a prime.

It is a super-2 number, since 2×1002000110001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002000110021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259381996 + ... + 259385858.

It is an arithmetic number, because the mean of its divisors is an integer number (45590640480).

Almost surely, 2^{1002000110001} is an apocalyptic number.

1002000110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002000110001 is a deficient number, since it is larger than the sum of its proper divisors (456900385359).

1002000110001 is a wasteful number, since it uses less digits than its factorization.

1002000110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9637.

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

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

The spelling of 1002000110001 in words is "one trillion, two billion, one hundred ten thousand, one".