2010012010120 has 32 divisors (see below), whose sum is σ = 4522575458520. Its totient is φ = 803996193280.

The previous prime is 2010012010117. The next prime is 2010012010133. The reversal of 2010012010120 is 210102100102.

It can be written as a sum of positive squares in 4 ways, for example, as 1849453122916 + 160558887204 = 1359946^2 + 400698^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2010012010097 and 2010012010106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4600350 + ... + 5018290.

Almost surely, 2^{2010012010120} is an apocalyptic number.

2010012010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010012010120 is an abundant number, since it is smaller than the sum of its proper divisors (2512563448400).

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

2010012010120 is a wasteful number, since it uses less digits than its factorization.

2010012010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538185 (or 538181 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2010012010120 its reverse (210102100102), we get a palindrome (2220114110222).

The spelling of 2010012010120 in words is "two trillion, ten billion, twelve million, ten thousand, one hundred twenty".