101101101011200 has 216 divisors, whose sum is σ = 253585103516360. Its totient is φ = 39903097651200.

The previous prime is 101101101011059. The next prime is 101101101011231. The reversal of 101101101011200 is 2110101101101.

It can be written as a sum of positive squares in 12 ways, for example, as 22794742579456 + 78306358431744 = 4774384^2 + 8849088^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167820922 + ... + 168422278.

Almost surely, 2^{101101101011200} is an apocalyptic number.

101101101011200 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 101101101011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126792551758180).

101101101011200 is an abundant number, since it is smaller than the sum of its proper divisors (152484002505160).

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

101101101011200 is a wasteful number, since it uses less digits than its factorization.

101101101011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601733 (or 601714 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101101101011200 its reverse (2110101101101), we get a palindrome (103211202112301).

The spelling of 101101101011200 in words is "one hundred one trillion, one hundred one billion, one hundred one million, eleven thousand, two hundred".