112121002110000 has 200 divisors, whose sum is σ = 389783202886000. Its totient is φ = 27599015808000.

The previous prime is 112121002109983. The next prime is 112121002110011. The reversal of 112121002110000 is 11200121211.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×112121002110000² (a number of 29 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 39 ways as a sum of consecutive naturals, for example, 143354875 + ... + 144134874.

It is an arithmetic number, because the mean of its divisors is an integer number (1948916014430).

Almost surely, 2^{112121002110000} is an apocalyptic number.

112121002110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121002110000 is an abundant number, since it is smaller than the sum of its proper divisors (277662200776000).

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

112121002110000 is a wasteful number, since it uses less digits than its factorization.

112121002110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287489793 (or 287489772 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112121002110000 its reverse (11200121211), we get a palindrome (112132202231211).

The spelling of 112121002110000 in words is "one hundred twelve trillion, one hundred twenty-one billion, two million, one hundred ten thousand".