1002000110201 has 12 divisors (see below), whose sum is σ = 1064480906412. Its totient is φ = 942994706688.

The previous prime is 1002000110161. The next prime is 1002000110203. The reversal of 1002000110201 is 1020110002001.

It can be written as a sum of positive squares in 6 ways, for example, as 55901509225 + 946098600976 = 236435^2 + 972676^2 .

It is not a de Polignac number, because 1002000110201 - 2³⁴ = 984820241017 is a prime.

It is a super-2 number, since 2×1002000110201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002000110203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4436651 + ... + 4657023.

It is an arithmetic number, because the mean of its divisors is an integer number (88706742201).

Almost surely, 2^{1002000110201} is an apocalyptic number.

It is an amenable number.

1002000110201 is a deficient number, since it is larger than the sum of its proper divisors (62480796211).

1002000110201 is a wasteful number, since it uses less digits than its factorization.

1002000110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236140 (or 236123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002000110201 its reverse (1020110002001), we get a palindrome (2022110112202).

The spelling of 1002000110201 in words is "one trillion, two billion, one hundred ten thousand, two hundred one".