101200201110112 has 72 divisors (see below), whose sum is σ = 216645502741920. Its totient is φ = 46512354470400.

The previous prime is 101200201110103. The next prime is 101200201110121. The reversal of 101200201110112 is 211011102002101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101200201110103) and next prime (101200201110121).

It is a super-2 number, since 2×101200201110112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101200201110092 and 101200201110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37856139 + ... + 40441162.

It is an arithmetic number, because the mean of its divisors is an integer number (3008965315860).

Almost surely, 2^{101200201110112} is an apocalyptic number.

It is an amenable number.

101200201110112 is an abundant number, since it is smaller than the sum of its proper divisors (115445301631808).

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

101200201110112 is a wasteful number, since it uses less digits than its factorization.

101200201110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78297576 (or 78297555 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101200201110112 its reverse (211011102002101), we get a palindrome (312211303112213).

The spelling of 101200201110112 in words is "one hundred one trillion, two hundred billion, two hundred one million, one hundred ten thousand, one hundred twelve".