20002112122100 has 36 divisors (see below), whose sum is σ = 43405651029804. Its totient is φ = 8000648033280.

The previous prime is 20002112122081. The next prime is 20002112122103. The reversal of 20002112122100 is 122121120002.

It can be written as a sum of positive squares in 6 ways, for example, as 4050124050064 + 15951988072036 = 2012492^2 + 3993994^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002112122103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1659602 + ... + 6538998.

Almost surely, 2^{20002112122100} is an apocalyptic number.

20002112122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002112122100 is an abundant number, since it is smaller than the sum of its proper divisors (23403538907704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20002112122100 is a wasteful number, since it uses less digits than its factorization.

20002112122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920404 (or 4920397 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20002112122100 its reverse (122121120002), we get a palindrome (20124233242102).

The spelling of 20002112122100 in words is "twenty trillion, two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred".