112001221102101 has 32 divisors (see below), whose sum is σ = 165109589948160. Its totient is φ = 67172788429824.

The previous prime is 112001221102093. The next prime is 112001221102117. The reversal of 112001221102101 is 101201122100211.

It is a happy number.

It is not a de Polignac number, because 112001221102101 - 2³ = 112001221102093 is a prime.

It is a super-2 number, since 2×112001221102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001221102151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31732710 + ... + 35085143.

It is an arithmetic number, because the mean of its divisors is an integer number (5159674685880).

Almost surely, 2^{112001221102101} is an apocalyptic number.

It is an amenable number.

112001221102101 is a deficient number, since it is larger than the sum of its proper divisors (53108368846059).

112001221102101 is a wasteful number, since it uses less digits than its factorization.

112001221102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66819325.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112001221102101 its reverse (101201122100211), we get a palindrome (213202343202312).

The spelling of 112001221102101 in words is "one hundred twelve trillion, one billion, two hundred twenty-one million, one hundred two thousand, one hundred one".