101111220101200 has 240 divisors, whose sum is σ = 254449849167360. Its totient is φ = 38538342768640.

The previous prime is 101111220101167. The next prime is 101111220101209. The reversal of 101111220101200 is 2101022111101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111220101209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8326702329 + ... + 8326714471.

It is an arithmetic number, because the mean of its divisors is an integer number (1060207704864).

Almost surely, 2^{101111220101200} is an apocalyptic number.

101111220101200 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 101111220101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224924583680).

101111220101200 is an abundant number, since it is smaller than the sum of its proper divisors (153338629066160).

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

101111220101200 is a wasteful number, since it uses less digits than its factorization.

101111220101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15566 (or 15555 counting only the distinct ones).

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

Adding to 101111220101200 its reverse (2101022111101), we get a palindrome (103212242212301).

It can be divided in two parts, 1011 and 11220101200, that added together give a palindrome (11220102211).

The spelling of 101111220101200 in words is "one hundred one trillion, one hundred eleven billion, two hundred twenty million, one hundred one thousand, two hundred".