2101020012 has 192 divisors, whose sum is σ = 6735375360. Its totient is φ = 551536128.

The previous prime is 2101019993. The next prime is 2101020023. The reversal of 2101020012 is 2100201012.

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 = 2101019976 and 2101020003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3075823 + ... + 3076505.

It is an arithmetic number, because the mean of its divisors is an integer number (35080080).

Almost surely, 2^2101020012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367687680).

2101020012 is an abundant number, since it is smaller than the sum of its proper divisors (4634355348).

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

2101020012 is a wasteful number, since it uses less digits than its factorization.

2101020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1021 counting only the distinct ones).

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

The square root of 2101020012 is about 45836.8848417953. The cubic root of 2101020012 is about 1280.7864657317.

Adding to 2101020012 its reverse (2100201012), we get a palindrome (4201221024).

The spelling of 2101020012 in words is "two billion, one hundred one million, twenty thousand, twelve".