112002121222101 has 24 divisors (see below), whose sum is σ = 176491885383840. Its totient is φ = 67878652557600.

The previous prime is 112002121222037. The next prime is 112002121222109. The reversal of 112002121222101 is 101222121200211.

112002121222101 is a `hidden beast` number, since 1 + 120 + 0 + 212 + 122 + 210 + 1 = 666.

It is not a de Polignac number, because 112002121222101 - 2⁶ = 112002121222037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002121222109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7077955 + ... + 16556016.

It is an arithmetic number, because the mean of its divisors is an integer number (7353828557660).

Almost surely, 2^{112002121222101} is an apocalyptic number.

112002121222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112002121222101 is a deficient number, since it is larger than the sum of its proper divisors (64489764161739).

112002121222101 is a wasteful number, since it uses less digits than its factorization.

112002121222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23681857 (or 23681854 counting only the distinct ones).

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

Adding to 112002121222101 its reverse (101222121200211), we get a palindrome (213224242422312).

The spelling of 112002121222101 in words is "one hundred twelve trillion, two billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred one".