2010120010020 has 60 divisors (see below), whose sum is σ = 6305820925404. Its totient is φ = 536032002240.

The previous prime is 2010120010013. The next prime is 2010120010069. The reversal of 2010120010020 is 200100210102.

It can be written as a sum of positive squares in 2 ways, for example, as 964339712064 + 1045780297956 = 982008^2 + 1022634^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2010120009984 and 2010120010011.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 620405791 + ... + 620409030.

Almost surely, 2^{2010120010020} is an apocalyptic number.

2010120010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010120010020 is an abundant number, since it is smaller than the sum of its proper divisors (4295700915384).

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

2010120010020 is a wasteful number, since it uses less digits than its factorization.

2010120010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240814842 (or 1240814831 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2010120010020 its reverse (200100210102), we get a palindrome (2210220220122).

The spelling of 2010120010020 in words is "two trillion, ten billion, one hundred twenty million, ten thousand, twenty".