20011100122121 has 8 divisors (see below), whose sum is σ = 20048509189800. Its totient is φ = 19973698915840.

The previous prime is 20011100122099. The next prime is 20011100122147. The reversal of 20011100122121 is 12122100111002.

It can be written as a sum of positive squares in 4 ways, for example, as 377241640000 + 19633858482121 = 614200^2 + 4431011^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20011100122121 - 2³⁴ = 19993920252937 is a prime.

It is a super-2 number, since 2×20011100122121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20011100122096 and 20011100122105.

It is not an unprimeable number, because it can be changed into a prime (20011100122151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3142781 + ... + 7063941.

It is an arithmetic number, because the mean of its divisors is an integer number (2506063648725).

Almost surely, 2^{20011100122121} is an apocalyptic number.

It is an amenable number.

20011100122121 is a deficient number, since it is larger than the sum of its proper divisors (37409067679).

20011100122121 is an equidigital number, since it uses as much as digits as its factorization.

20011100122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930699.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20011100122121 its reverse (12122100111002), we get a palindrome (32133200233123).

The spelling of 20011100122121 in words is "twenty trillion, eleven billion, one hundred million, one hundred twenty-two thousand, one hundred twenty-one".