100201110111102 has 128 divisors (see below), whose sum is σ = 271845447164928. Its totient is φ = 23776569446400.

The previous prime is 100201110111083. The next prime is 100201110111103. The reversal of 100201110111102 is 201111011102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201110111103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85414849 + ... + 86580012.

It is an arithmetic number, because the mean of its divisors is an integer number (2123792555976).

Almost surely, 2^{100201110111102} is an apocalyptic number.

100201110111102 is an abundant number, since it is smaller than the sum of its proper divisors (171644337053826).

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

100201110111102 is a wasteful number, since it uses less digits than its factorization.

100201110111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171994994.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100201110111102 its reverse (201111011102001), we get a palindrome (301312121213103).

The spelling of 100201110111102 in words is "one hundred trillion, two hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred two".