2112002100020 has 24 divisors (see below), whose sum is σ = 4435345005000. Its totient is φ = 844774060032.

The previous prime is 2112002099953. The next prime is 2112002100029. The reversal of 2112002100020 is 200012002112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 845233841956 + 1266768258064 = 919366^2 + 1125508^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2112002099974 and 2112002100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112002100029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1020845 + ... + 2294804.

It is an arithmetic number, because the mean of its divisors is an integer number (184806041875).

Almost surely, 2^{2112002100020} is an apocalyptic number.

2112002100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112002100020 is an abundant number, since it is smaller than the sum of its proper divisors (2323342904980).

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

2112002100020 is a wasteful number, since it uses less digits than its factorization.

2112002100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347507 (or 3347505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2112002100020 its reverse (200012002112), we get a palindrome (2312014102132).

The spelling of 2112002100020 in words is "two trillion, one hundred twelve billion, two million, one hundred thousand, twenty".