101112102011200 has 168 divisors, whose sum is σ = 284353218756992. Its totient is φ = 34665599047680.

The previous prime is 101112102011159. The next prime is 101112102011237. The reversal of 101112102011200 is 2110201211101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297268429 + ... + 297608371.

Almost surely, 2^{101112102011200} is an apocalyptic number.

101112102011200 is a gapful number since it is divisible by the number (10) 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 101112102011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142176609378496).

101112102011200 is an abundant number, since it is smaller than the sum of its proper divisors (183241116745792).

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

101112102011200 is a wasteful number, since it uses less digits than its factorization.

101112102011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366529 (or 366514 counting only the distinct ones).

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

Adding to 101112102011200 its reverse (2110201211101), we get a palindrome (103222303222301).

The spelling of 101112102011200 in words is "one hundred one trillion, one hundred twelve billion, one hundred two million, eleven thousand, two hundred".