20021001112111 has 16 divisors (see below), whose sum is σ = 20336653910560. Its totient is φ = 19706481031680.

The previous prime is 20021001112093. The next prime is 20021001112121. The reversal of 20021001112111 is 11121110012002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20021001112111 - 2¹⁷ = 20021000981039 is a prime.

It is a super-2 number, since 2×20021001112111² (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 = 20021001112091 and 20021001112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021001112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219653995 + ... + 219745123.

It is an arithmetic number, because the mean of its divisors is an integer number (1271040869410).

Almost surely, 2^{20021001112111} is an apocalyptic number.

20021001112111 is a deficient number, since it is larger than the sum of its proper divisors (315652798449).

20021001112111 is an equidigital number, since it uses as much as digits as its factorization.

20021001112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97306.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 20021001112111 its reverse (11121110012002), we get a palindrome (31142111124113).

The spelling of 20021001112111 in words is "twenty trillion, twenty-one billion, one million, one hundred twelve thousand, one hundred eleven".