20001220101121 has 10 divisors (see below), whose sum is σ = 23333368392322. Its totient is φ = 17143902941760.

The previous prime is 20001220101001. The next prime is 20001220101131. The reversal of 20001220101121 is 12110102210002.

It can be written as a sum of positive squares in only one way, i.e., 18532120961025 + 1469099140096 = 4304895^2 + 1212064^2 .

It is not a de Polignac number, because 20001220101121 - 2⁷ = 20001220100993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20001220101131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4165182960 + ... + 4165187761.

Almost surely, 2^{20001220101121} is an apocalyptic number.

It is an amenable number.

20001220101121 is a deficient number, since it is larger than the sum of its proper divisors (3332148291201).

20001220101121 is an frugal number, since it uses more digits than its factorization.

20001220101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8330370749 (or 8330370728 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20001220101121 its reverse (12110102210002), we get a palindrome (32111322311123).

The spelling of 20001220101121 in words is "twenty trillion, one billion, two hundred twenty million, one hundred one thousand, one hundred twenty-one".