2010121020 has 72 divisors (see below), whose sum is σ = 6128426304. Its totient is φ = 533301888.

The previous prime is 2010121007. The next prime is 2010121033. The reversal of 2010121020 is 201210102.

It is an interprime number because it is at equal distance from previous prime (2010121007) and next prime (2010121033).

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 = 2010120993 and 2010121011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7117 + ... + 63803.

It is an arithmetic number, because the mean of its divisors is an integer number (85117032).

Almost surely, 2^2010121020 is an apocalyptic number.

2010121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064213152).

2010121020 is an abundant number, since it is smaller than the sum of its proper divisors (4118305284).

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

2010121020 is a wasteful number, since it uses less digits than its factorization.

2010121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56899 (or 56894 counting only the distinct ones).

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

The square root of 2010121020 is about 44834.3731973583. The cubic root of 2010121020 is about 1262.0427559620.

Adding to 2010121020 its reverse (201210102), we get a palindrome (2211331122).

The spelling of 2010121020 in words is "two billion, ten million, one hundred twenty-one thousand, twenty".