112121101000000 has 392 divisors, whose sum is σ = 285972082010496. Its totient is φ = 43588800000000.

The previous prime is 112121100999913. The next prime is 112121101000009. The reversal of 112121101000000 is 101121211.

It is a super-2 number, since 2×112121101000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121101000009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11110994955 + ... + 11111005045.

Almost surely, 2^{112121101000000} is an apocalyptic number.

112121101000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112121101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142986041005248).

112121101000000 is an abundant number, since it is smaller than the sum of its proper divisors (173850981010496).

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

112121101000000 is an frugal number, since it uses more digits than its factorization.

112121101000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10445 (or 10410 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112121101000000 its reverse (101121211), we get a palindrome (112121202121211).

The spelling of 112121101000000 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred one million", and thus it is an aban number.