2121012202220 has 96 divisors (see below), whose sum is σ = 4769916984000. Its totient is φ = 789444091904.

The previous prime is 2121012202217. The next prime is 2121012202223. The reversal of 2121012202220 is 222022101212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2121012202217) and next prime (2121012202223).

It is a super-2 number, since 2×2121012202220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2121012202223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10428056 + ... + 10629504.

It is an arithmetic number, because the mean of its divisors is an integer number (49686635250).

Almost surely, 2^{2121012202220} is an apocalyptic number.

2121012202220 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 2121012202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384958492000).

2121012202220 is an abundant number, since it is smaller than the sum of its proper divisors (2648904781780).

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

2121012202220 is a wasteful number, since it uses less digits than its factorization.

2121012202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201827 (or 201825 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2121012202220 its reverse (222022101212), we get a palindrome (2343034303432).

It can be divided in two parts, 2121012 and 202220, that added together give a palindrome (2323232).

The spelling of 2121012202220 in words is "two trillion, one hundred twenty-one billion, twelve million, two hundred two thousand, two hundred twenty".