20122101212121 has 24 divisors (see below), whose sum is σ = 29375954420904. Its totient is φ = 13271439605760.

The previous prime is 20122101212033. The next prime is 20122101212183. The reversal of 20122101212121 is 12121210122102.

20122101212121 is a `hidden beast` number, since 201 + 221 + 0 + 121 + 2 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10797237387225 + 9324863824896 = 3285915^2 + 3053664^2 .

It is not a de Polignac number, because 20122101212121 - 2¹³ = 20122101203929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20122101212094 and 20122101212103.

It is not an unprimeable number, because it can be changed into a prime (20122101212021) 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, 2017920 + ... + 6657041.

It is an arithmetic number, because the mean of its divisors is an integer number (1223998100871).

Almost surely, 2^{20122101212121} is an apocalyptic number.

It is an amenable number.

20122101212121 is a deficient number, since it is larger than the sum of its proper divisors (9253853208783).

20122101212121 is a wasteful number, since it uses less digits than its factorization.

20122101212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8677721 (or 8677718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20122101212121 its reverse (12121210122102), we get a palindrome (32243311334223).

The spelling of 20122101212121 in words is "twenty trillion, one hundred twenty-two billion, one hundred one million, two hundred twelve thousand, one hundred twenty-one".