100111101102211 has 16 divisors (see below), whose sum is σ = 109489946580000. Its totient is φ = 91171802244096.

The previous prime is 100111101102209. The next prime is 100111101102217. The reversal of 100111101102211 is 112201101111001.

It is not a de Polignac number, because 100111101102211 - 2¹ = 100111101102209 is a prime.

It is a super-2 number, since 2×100111101102211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111101102191 and 100111101102200.

It is not an unprimeable number, because it can be changed into a prime (100111101102217) 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, 396576526 + ... + 396828883.

It is an arithmetic number, because the mean of its divisors is an integer number (6843121661250).

Almost surely, 2^{100111101102211} is an apocalyptic number.

100111101102211 is a deficient number, since it is larger than the sum of its proper divisors (9378845477789).

100111101102211 is a wasteful number, since it uses less digits than its factorization.

100111101102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793405686.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100111101102211 its reverse (112201101111001), we get a palindrome (212312202213212).

The spelling of 100111101102211 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred two thousand, two hundred eleven".