100111100020200 has 288 divisors, whose sum is σ = 338521260987000. Its totient is φ = 26512660961280.

The previous prime is 100111100020081. The next prime is 100111100020219. The reversal of 100111100020200 is 2020001111001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1682120805156 + 98428979215044 = 1296966^2 + 9921138^2 .

It is a super-3 number, since 3×100111100020200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 557480026 + ... + 557659574.

Almost surely, 2^{100111100020200} is an apocalyptic number.

100111100020200 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 100111100020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169260630493500).

100111100020200 is an abundant number, since it is smaller than the sum of its proper divisors (238410160966800).

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

100111100020200 is a wasteful number, since it uses less digits than its factorization.

100111100020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181701 (or 181689 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100111100020200 its reverse (2020001111001), we get a palindrome (102131101131201).

The spelling of 100111100020200 in words is "one hundred trillion, one hundred eleven billion, one hundred million, twenty thousand, two hundred".