112100211212202 has 288 divisors, whose sum is σ = 270913394748672. Its totient is φ = 34660481872896.

The previous prime is 112100211212177. The next prime is 112100211212203. The reversal of 112100211212202 is 202212112001211.

112100211212202 is a `hidden beast` number, since 1 + 1 + 210 + 0 + 211 + 21 + 220 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112100211212203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41411232933 + ... + 41411235639.

It is an arithmetic number, because the mean of its divisors is an integer number (940671509544).

Almost surely, 2^{112100211212202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112100211212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135456697374336).

112100211212202 is an abundant number, since it is smaller than the sum of its proper divisors (158813183536470).

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

112100211212202 is an equidigital number, since it uses as much as digits as its factorization.

112100211212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112100211212202 its reverse (202212112001211), we get a palindrome (314312323213413).

The spelling of 112100211212202 in words is "one hundred twelve trillion, one hundred billion, two hundred eleven million, two hundred twelve thousand, two hundred two".