112202100121020 has 1152 divisors, whose sum is σ = 429877953469440. Its totient is φ = 21595830681600.

The previous prime is 112202100121009. The next prime is 112202100121031. The reversal of 112202100121020 is 20121001202211.

It is an interprime number because it is at equal distance from previous prime (112202100121009) and next prime (112202100121031).

It is a super-2 number, since 2×112202100121020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2606238495 + ... + 2606281545.

It is an arithmetic number, because the mean of its divisors is an integer number (373157945720).

Almost surely, 2^{112202100121020} is an apocalyptic number.

112202100121020 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 112202100121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214938976734720).

112202100121020 is an abundant number, since it is smaller than the sum of its proper divisors (317675853348420).

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

112202100121020 is a wasteful number, since it uses less digits than its factorization.

112202100121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43243 (or 43234 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112202100121020 its reverse (20121001202211), we get a palindrome (132323101323231).

The spelling of 112202100121020 in words is "one hundred twelve trillion, two hundred two billion, one hundred million, one hundred twenty-one thousand, twenty".