2001100101020 has 12 divisors (see below), whose sum is σ = 4202310212184. Its totient is φ = 800440040400.

The previous prime is 2001100100983. The next prime is 2001100101061. The reversal of 2001100101020 is 201010011002.

It is a super-2 number, since 2×2001100101020² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001100100989 and 2001100101007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50027502506 + ... + 50027502545.

It is an arithmetic number, because the mean of its divisors is an integer number (350192517682).

Almost surely, 2^{2001100101020} is an apocalyptic number.

2001100101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001100101020 is an abundant number, since it is smaller than the sum of its proper divisors (2201210111164).

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

2001100101020 is a wasteful number, since it uses less digits than its factorization.

2001100101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100055005060 (or 100055005058 counting only the distinct ones).

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

Adding to 2001100101020 its reverse (201010011002), we get a palindrome (2202110112022).

The spelling of 2001100101020 in words is "two trillion, one billion, one hundred million, one hundred one thousand, twenty".