2001000110020 has 12 divisors (see below), whose sum is σ = 4202100231084. Its totient is φ = 800400044000.

The previous prime is 2001000109993. The next prime is 2001000110027. The reversal of 2001000110020 is 200110001002.

It can be written as a sum of positive squares in 2 ways, for example, as 448045487044 + 1552954622976 = 669362^2 + 1246176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001000109985 and 2001000110012.

It is not an unprimeable number, because it can be changed into a prime (2001000110027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50025002731 + ... + 50025002770.

It is an arithmetic number, because the mean of its divisors is an integer number (350175019257).

Almost surely, 2^{2001000110020} is an apocalyptic number.

2001000110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001000110020 is an abundant number, since it is smaller than the sum of its proper divisors (2201100121064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001000110020 is a wasteful number, since it uses less digits than its factorization.

2001000110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100050005510 (or 100050005508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2001000110020 its reverse (200110001002), we get a palindrome (2201110111022).

The spelling of 2001000110020 in words is "two trillion, one billion, one hundred ten thousand, twenty".