101111000200 has 144 divisors (see below), whose sum is σ = 273805131600. Its totient is φ = 34623388800.

The previous prime is 101111000161. The next prime is 101111000203. The reversal of 101111000200 is 2000111101.

It is a super-2 number, since 2×101111000200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (101111000203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8412195 + ... + 8424205.

It is an arithmetic number, because the mean of its divisors is an integer number (1901424525).

Almost surely, 2^101111000200 is an apocalyptic number.

101111000200 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 101111000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136902565800).

101111000200 is an abundant number, since it is smaller than the sum of its proper divisors (172694131400).

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

101111000200 is a wasteful number, since it uses less digits than its factorization.

101111000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12900 (or 12884 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101111000200 its reverse (2000111101), we get a palindrome (103111111301).

The spelling of 101111000200 in words is "one hundred one billion, one hundred eleven million, two hundred", and thus it is an aban number.