100110111022101 has 16 divisors (see below), whose sum is σ = 137088343209600. Its totient is φ = 64935992835648.

The previous prime is 100110111022043. The next prime is 100110111022109. The reversal of 100110111022101 is 101220111011001.

It is not a de Polignac number, because 100110111022101 - 2¹⁰ = 100110111021077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110111022109) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23935840 + ... + 27805478.

It is an arithmetic number, because the mean of its divisors is an integer number (8568021450600).

Almost surely, 2^{100110111022101} is an apocalyptic number.

It is an amenable number.

100110111022101 is a deficient number, since it is larger than the sum of its proper divisors (36978232187499).

100110111022101 is a wasteful number, since it uses less digits than its factorization.

100110111022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102748.

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

Adding to 100110111022101 its reverse (101220111011001), we get a palindrome (201330222033102).

The spelling of 100110111022101 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, twenty-two thousand, one hundred one".