101121202111200 has 576 divisors, whose sum is σ = 339339624873984. Its totient is φ = 26139801600000.

The previous prime is 101121202111187. The next prime is 101121202111229. The reversal of 101121202111200 is 2111202121101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101121202111200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10213226250 + ... + 10213236150.

It is an arithmetic number, because the mean of its divisors is an integer number (589131293184).

Almost surely, 2^{101121202111200} is an apocalyptic number.

101121202111200 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 101121202111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169669812436992).

101121202111200 is an abundant number, since it is smaller than the sum of its proper divisors (238218422762784).

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

101121202111200 is a wasteful number, since it uses less digits than its factorization.

101121202111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10619 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121202111200 its reverse (2111202121101), we get a palindrome (103232404232301).

Subtracting from 101121202111200 its reverse (2111202121101), we obtain a palindrome (99009999990099).

The spelling of 101121202111200 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred two million, one hundred eleven thousand, two hundred".