2121012121120 has 24 divisors (see below), whose sum is σ = 5010891136524. Its totient is φ = 848404848384.

The previous prime is 2121012121027. The next prime is 2121012121139. The reversal of 2121012121120 is 211212101212.

It can be written as a sum of positive squares in 2 ways, for example, as 2056046267664 + 64965853456 = 1433892^2 + 254884^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2121012121094 and 2121012121103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6628162719 + ... + 6628163038.

Almost surely, 2^{2121012121120} is an apocalyptic number.

2121012121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121012121120 is an abundant number, since it is smaller than the sum of its proper divisors (2889879015404).

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

2121012121120 is a wasteful number, since it uses less digits than its factorization.

2121012121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13256325772 (or 13256325764 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2121012121120 its reverse (211212101212), we get a palindrome (2332224222332).

The spelling of 2121012121120 in words is "two trillion, one hundred twenty-one billion, twelve million, one hundred twenty-one thousand, one hundred twenty".