101011102101200 has 240 divisors, whose sum is σ = 258352809361920. Its totient is φ = 37844612789760.

The previous prime is 101011102101139. The next prime is 101011102101227. The reversal of 101011102101200 is 2101201110101.

101011102101200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408916127 + ... + 409163073.

It is an arithmetic number, because the mean of its divisors is an integer number (1076470039008).

Almost surely, 2^{101011102101200} is an apocalyptic number.

101011102101200 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 101011102101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129176404680960).

101011102101200 is an abundant number, since it is smaller than the sum of its proper divisors (157341707260720).

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

101011102101200 is a wasteful number, since it uses less digits than its factorization.

101011102101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247594 (or 247583 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101011102101200 its reverse (2101201110101), we get a palindrome (103112303211301).

The spelling of 101011102101200 in words is "one hundred one trillion, eleven billion, one hundred two million, one hundred one thousand, two hundred".