101111200010200 has 192 divisors, whose sum is σ = 258523912116000. Its totient is φ = 36628300800000.

The previous prime is 101111200010189. The next prime is 101111200010209. The reversal of 101111200010200 is 2010002111101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111200010209) 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, 6588000 + ... + 15672400.

Almost surely, 2^{101111200010200} is an apocalyptic number.

101111200010200 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 101111200010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129261956058000).

101111200010200 is an abundant number, since it is smaller than the sum of its proper divisors (157412712105800).

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

101111200010200 is a wasteful number, since it uses less digits than its factorization.

101111200010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9084566 (or 9084557 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101111200010200 its reverse (2010002111101), we get a palindrome (103121202121301).

The spelling of 101111200010200 in words is "one hundred one trillion, one hundred eleven billion, two hundred million, ten thousand, two hundred".