2121000122020 has 72 divisors (see below), whose sum is σ = 5106789642024. Its totient is φ = 737071515648.

The previous prime is 2121000122009. The next prime is 2121000122023. The reversal of 2121000122020 is 202210001212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 277341263424 + 1843658858596 = 526632^2 + 1357814^2 .

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 (2121000122023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18398859 + ... + 18513778.

It is an arithmetic number, because the mean of its divisors is an integer number (70927633917).

Almost surely, 2^{2121000122020} is an apocalyptic number.

2121000122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121000122020 is an abundant number, since it is smaller than the sum of its proper divisors (2985789520004).

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

2121000122020 is a wasteful number, since it uses less digits than its factorization.

2121000122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36912689 (or 36912674 counting only the distinct ones).

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

Adding to 2121000122020 its reverse (202210001212), we get a palindrome (2323210123232).

The spelling of 2121000122020 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-two thousand, twenty".