200010112101100 has 288 divisors, whose sum is σ = 516455504732160. Its totient is φ = 65811522816000.

The previous prime is 200010112101073. The next prime is 200010112101133. The reversal of 200010112101100 is 1101211010002.

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 95 ways as a sum of consecutive naturals, for example, 614275542 + ... + 614601058.

It is an arithmetic number, because the mean of its divisors is an integer number (1793248280320).

Almost surely, 2^{200010112101100} is an apocalyptic number.

200010112101100 is a gapful number since it is divisible by the number (20) 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 200010112101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258227752366080).

200010112101100 is an abundant number, since it is smaller than the sum of its proper divisors (316445392631060).

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

200010112101100 is a wasteful number, since it uses less digits than its factorization.

200010112101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325929 (or 325922 counting only the distinct ones).

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

Adding to 200010112101100 its reverse (1101211010002), we get a palindrome (201111323111102).

The spelling of 200010112101100 in words is "two hundred trillion, ten billion, one hundred twelve million, one hundred one thousand, one hundred".