100000201011102 has 288 divisors, whose sum is σ = 260738737668864. Its totient is φ = 27589640601600.

The previous prime is 100000201011101. The next prime is 100000201011173. The reversal of 100000201011102 is 201110102000001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000201011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34518535318 + ... + 34518538214.

It is an arithmetic number, because the mean of its divisors is an integer number (905342839128).

Almost surely, 2^{100000201011102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000201011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130369368834432).

100000201011102 is an abundant number, since it is smaller than the sum of its proper divisors (160738536657762).

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

100000201011102 is a wasteful number, since it uses less digits than its factorization.

100000201011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5254 counting only the distinct ones).

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

Adding to 100000201011102 its reverse (201110102000001), we get a palindrome (301110303011103).

It can be divided in two parts, 100000 and 201011102, that added together give a palindrome (201111102).

The spelling of 100000201011102 in words is "one hundred trillion, two hundred one million, eleven thousand, one hundred two".