2112102002000 has 40 divisors (see below), whose sum is σ = 5107062645672. Its totient is φ = 844840800000.

The previous prime is 2112102001969. The next prime is 2112102002033. The reversal of 2112102002000 is 2002012112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36681442576 + 2075420559424 = 191524^2 + 1440632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528023501 + ... + 528027500.

Almost surely, 2^{2112102002000} is an apocalyptic number.

2112102002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112102002000 is an abundant number, since it is smaller than the sum of its proper divisors (2994960643672).

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

2112102002000 is a wasteful number, since it uses less digits than its factorization.

2112102002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056051024 (or 1056051008 counting only the distinct ones).

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

Adding to 2112102002000 its reverse (2002012112), we get a palindrome (2114104014112).

The spelling of 2112102002000 in words is "two trillion, one hundred twelve billion, one hundred two million, two thousand".