101112200101200 has 480 divisors, whose sum is σ = 332236228449024. Its totient is φ = 26276138270720.

The previous prime is 101112200101123. The next prime is 101112200101217. The reversal of 101112200101200 is 2101002211101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13126336549 + ... + 13126344251.

Almost surely, 2^{101112200101200} is an apocalyptic number.

101112200101200 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 101112200101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166118114224512).

101112200101200 is an abundant number, since it is smaller than the sum of its proper divisors (231124028347824).

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

101112200101200 is a wasteful number, since it uses less digits than its factorization.

101112200101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9143 (or 9132 counting only the distinct ones).

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

Adding to 101112200101200 its reverse (2101002211101), we get a palindrome (103213202312301).

The spelling of 101112200101200 in words is "one hundred one trillion, one hundred twelve billion, two hundred million, one hundred one thousand, two hundred".