20100111022121 has 16 divisors (see below), whose sum is σ = 22616116650624. Its totient is φ = 17724704494464.

The previous prime is 20100111022099. The next prime is 20100111022129. The reversal of 20100111022121 is 12122011100102.

It is a cyclic number.

It is not a de Polignac number, because 20100111022121 - 2¹⁰ = 20100111021097 is a prime.

It is a super-2 number, since 2×20100111022121² (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 = 20100111022096 and 20100111022105.

It is not an unprimeable number, because it can be changed into a prime (20100111022129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42473996 + ... + 42944621.

It is an arithmetic number, because the mean of its divisors is an integer number (1413507290664).

Almost surely, 2^{20100111022121} is an apocalyptic number.

It is an amenable number.

20100111022121 is a deficient number, since it is larger than the sum of its proper divisors (2516005628503).

20100111022121 is a wasteful number, since it uses less digits than its factorization.

20100111022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85419440.

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

Adding to 20100111022121 its reverse (12122011100102), we get a palindrome (32222122122223).

The spelling of 20100111022121 in words is "twenty trillion, one hundred billion, one hundred eleven million, twenty-two thousand, one hundred twenty-one".