100110211102101 has 16 divisors (see below), whose sum is σ = 134999630427200. Its totient is φ = 65983145885568.

The previous prime is 100110211102093. The next prime is 100110211102147. The reversal of 100110211102101 is 101201112011001.

It is not a de Polignac number, because 100110211102101 - 2³ = 100110211102093 is a prime.

It is a super-2 number, since 2×100110211102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110212102101) 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, 334803991 + ... + 335102868.

It is an arithmetic number, because the mean of its divisors is an integer number (8437476901700).

Almost surely, 2^{100110211102101} is an apocalyptic number.

It is an amenable number.

100110211102101 is a deficient number, since it is larger than the sum of its proper divisors (34889419325099).

100110211102101 is a wasteful number, since it uses less digits than its factorization.

100110211102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669907428.

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

Adding to 100110211102101 its reverse (101201112011001), we get a palindrome (201311323113102).

The spelling of 100110211102101 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, one hundred two thousand, one hundred one".