2112121000998 has 24 divisors (see below), whose sum is σ = 4606568546736. Its totient is φ = 699377814000.

The previous prime is 2112121000961. The next prime is 2112121000999. The reversal of 2112121000998 is 8990001212112.

It is a super-3 number, since 3×2112121000998³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112121000999) 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, 388540513 + ... + 388545948.

It is an arithmetic number, because the mean of its divisors is an integer number (191940356114).

Almost surely, 2^{2112121000998} is an apocalyptic number.

2112121000998 is an abundant number, since it is smaller than the sum of its proper divisors (2494447545738).

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

2112121000998 is a wasteful number, since it uses less digits than its factorization.

2112121000998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777086620 (or 777086617 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 2112121000998 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, nine hundred ninety-eight", and thus it is an aban number.