2120212010020 has 96 divisors (see below), whose sum is σ = 4877311824000. Its totient is φ = 769405215744.

The previous prime is 2120212009997. The next prime is 2120212010023. The reversal of 2120212010020 is 200102120212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2120212010023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82010056 + ... + 82035904.

It is an arithmetic number, because the mean of its divisors is an integer number (50805331500).

Almost surely, 2^{2120212010020} is an apocalyptic number.

2120212010020 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 2120212010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438655912000).

2120212010020 is an abundant number, since it is smaller than the sum of its proper divisors (2757099813980).

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

2120212010020 is a wasteful number, since it uses less digits than its factorization.

2120212010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31277 (or 31275 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2120212010020 its reverse (200102120212), we get a palindrome (2320314130232).

The spelling of 2120212010020 in words is "two trillion, one hundred twenty billion, two hundred twelve million, ten thousand, twenty".