20021100113 has 16 divisors (see below), whose sum is σ = 23182748160. Its totient is φ = 16935048000.

The previous prime is 20021100083. The next prime is 20021100119. The reversal of 20021100113 is 31100112002.

It is a cyclic number.

It is not a de Polignac number, because 20021100113 - 2³⁴ = 2841230929 is a prime.

It is a super-2 number, since 2×20021100113² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20021100094 and 20021100103.

It is not an unprimeable number, because it can be changed into a prime (20021100119) 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, 1220063 + ... + 1236363.

It is an arithmetic number, because the mean of its divisors is an integer number (1448921760).

Almost surely, 2^20021100113 is an apocalyptic number.

It is an amenable number.

20021100113 is a deficient number, since it is larger than the sum of its proper divisors (3161648047).

20021100113 is a wasteful number, since it uses less digits than its factorization.

20021100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18608.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 20021100113 its reverse (31100112002), we get a palindrome (51121212115).

The spelling of 20021100113 in words is "twenty billion, twenty-one million, one hundred thousand, one hundred thirteen".