101112211200 has 864 divisors, whose sum is σ = 448118318592. Its totient is φ = 19390464000.

The previous prime is 101112211199. The next prime is 101112211253. The reversal of 101112211200 is 2112211101.

101112211200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 19216570 + ... + 19221830.

Almost surely, 2^101112211200 is an apocalyptic number.

101112211200 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 101112211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224059159296).

101112211200 is an abundant number, since it is smaller than the sum of its proper divisors (347006107392).

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

101112211200 is a wasteful number, since it uses less digits than its factorization.

101112211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5302 counting only the distinct ones).

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

Adding to 101112211200 its reverse (2112211101), we get a palindrome (103224422301).

Subtracting from 101112211200 its reverse (2112211101), we obtain a palindrome (99000000099).

The spelling of 101112211200 in words is "one hundred one billion, one hundred twelve million, two hundred eleven thousand, two hundred".