2010020000121 has 72 divisors (see below), whose sum is σ = 3414707529480. Its totient is φ = 1135951197696.

The previous prime is 2010020000111. The next prime is 2010020000167. The reversal of 2010020000121 is 1210000200102.

It can be written as a sum of positive squares in 4 ways, for example, as 198034790121 + 1811985210000 = 445011^2 + 1346100^2 .

It is not a de Polignac number, because 2010020000121 - 2⁵ = 2010020000089 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2010020000111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16190335 + ... + 16314011.

It is an arithmetic number, because the mean of its divisors is an integer number (47426493465).

Almost surely, 2^{2010020000121} is an apocalyptic number.

2010020000121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2010020000121 is a deficient number, since it is larger than the sum of its proper divisors (1404687529359).

2010020000121 is a wasteful number, since it uses less digits than its factorization.

2010020000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124103 (or 124093 counting only the distinct ones).

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

Adding to 2010020000121 its reverse (1210000200102), we get a palindrome (3220020200223).

The spelling of 2010020000121 in words is "two trillion, ten billion, twenty million, one hundred twenty-one", and thus it is an aban number.