2142221020121 has 24 divisors (see below), whose sum is σ = 2776201573320. Its totient is φ = 1636497741312.

The previous prime is 2142221020109. The next prime is 2142221020139. The reversal of 2142221020121 is 1210201222412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 555979009600 + 1586242010521 = 745640^2 + 1259461^2 .

It is not a de Polignac number, because 2142221020121 - 2⁶ = 2142221020057 is a prime.

It is a super-2 number, since 2×2142221020121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2142221020093 and 2142221020102.

It is not an unprimeable number, because it can be changed into a prime (2142221020021) 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 23 ways as a sum of consecutive naturals, for example, 57964016 + ... + 58000961.

It is an arithmetic number, because the mean of its divisors is an integer number (115675065555).

Almost surely, 2^{2142221020121} is an apocalyptic number.

It is an amenable number.

2142221020121 is a deficient number, since it is larger than the sum of its proper divisors (633980553199).

2142221020121 is a wasteful number, since it uses less digits than its factorization.

2142221020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115965033 (or 115965026 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2142221020121 its reverse (1210201222412), we get a palindrome (3352422242533).

The spelling of 2142221020121 in words is "two trillion, one hundred forty-two billion, two hundred twenty-one million, twenty thousand, one hundred twenty-one".