20100111122021 has 12 divisors (see below), whose sum is σ = 23382984562380. Its totient is φ = 17227765779840.

The previous prime is 20100111121967. The next prime is 20100111122023. The reversal of 20100111122021 is 12022111100102.

It can be written as a sum of positive squares in 2 ways, for example, as 14249953057921 + 5850158064100 = 3774911^2 + 2418710^2 .

It is a de Polignac number, because none of the positive numbers 2^k-20100111122021 is a prime.

It is a super-2 number, since 2×20100111122021² (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 = 20100111121987 and 20100111122005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100111122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9777476 + ... + 11653293.

It is an arithmetic number, because the mean of its divisors is an integer number (1948582046865).

Almost surely, 2^{20100111122021} is an apocalyptic number.

It is an amenable number.

20100111122021 is a deficient number, since it is larger than the sum of its proper divisors (3282873440359).

20100111122021 is a wasteful number, since it uses less digits than its factorization.

20100111122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21449924 (or 21449917 counting only the distinct ones).

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

Adding to 20100111122021 its reverse (12022111100102), we get a palindrome (32122222222123).

The spelling of 20100111122021 in words is "twenty trillion, one hundred billion, one hundred eleven million, one hundred twenty-two thousand, twenty-one".