101222201120112 has 120 divisors (see below), whose sum is σ = 293785187544576. Its totient is φ = 33739389867456.

The previous prime is 101222201120111. The next prime is 101222201120113. The reversal of 101222201120112 is 211021102222101.

101222201120112 is a `hidden beast` number, since 10 + 1 + 222 + 201 + 120 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (101222201120111) and next prime (101222201120113).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222201120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99598753 + ... + 100609919.

Almost surely, 2^{101222201120112} is an apocalyptic number.

101222201120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101222201120112 is an abundant number, since it is smaller than the sum of its proper divisors (192562986424464).

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

101222201120112 is a wasteful number, since it uses less digits than its factorization.

101222201120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036937 (or 1036919 counting only the distinct ones).

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

Adding to 101222201120112 its reverse (211021102222101), we get a palindrome (312243303342213).

The spelling of 101222201120112 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred one million, one hundred twenty thousand, one hundred twelve".