201100101001102 has 32 divisors (see below), whose sum is σ = 310468486293504. Its totient is φ = 97634545041600.

The previous prime is 201100101001043. The next prime is 201100101001109.

201100101001102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100101001109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16809463 + ... + 26167885.

It is an arithmetic number, because the mean of its divisors is an integer number (9702140196672).

Almost surely, 2^{201100101001102} is an apocalyptic number.

201100101001102 is a deficient number, since it is larger than the sum of its proper divisors (109368385292402).

201100101001102 is a wasteful number, since it uses less digits than its factorization.

201100101001102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9359704.

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

It can be divided in two parts, 20110010 and 1001102, that added together give a palindrome (21111112).

The spelling of 201100101001102 in words is "two hundred one trillion, one hundred billion, one hundred one million, one thousand, one hundred two".