101120201112 has 256 divisors, whose sum is σ = 313697894400. Its totient is φ = 26519270400.

The previous prime is 101120201099. The next prime is 101120201113. The reversal of 101120201112 is 211102021101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120201113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17428612 + ... + 17434412.

It is an arithmetic number, because the mean of its divisors is an integer number (1225382400).

Almost surely, 2^101120201112 is an apocalyptic number.

101120201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156848947200).

101120201112 is an abundant number, since it is smaller than the sum of its proper divisors (212577693288).

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

101120201112 is a wasteful number, since it uses less digits than its factorization.

101120201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120201112 its reverse (211102021101), we get a palindrome (312222222213).

The spelling of 101120201112 in words is "one hundred one billion, one hundred twenty million, two hundred one thousand, one hundred twelve".