2112121000200 has 96 divisors (see below), whose sum is σ = 6608767592160. Its totient is φ = 557968396800.

The previous prime is 2112121000181. The next prime is 2112121000219. The reversal of 2112121000200 is 20001212112.

It is an interprime number because it is at equal distance from previous prime (2112121000181) and next prime (2112121000219).

It is a super-2 number, since 2×2112121000200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16385341 + ... + 16513740.

It is an arithmetic number, because the mean of its divisors is an integer number (68841329085).

Almost surely, 2^{2112121000200} is an apocalyptic number.

2112121000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112121000200 is an abundant number, since it is smaller than the sum of its proper divisors (4496646591960).

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

2112121000200 is a wasteful number, since it uses less digits than its factorization.

2112121000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32899207 (or 32899198 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2112121000200 its reverse (20001212112), we get a palindrome (2132122212312).

The spelling of 2112121000200 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred", and thus it is an aban number.