100111120220111 has 32 divisors (see below), whose sum is σ = 135440998995456. Its totient is φ = 71458319088000.

The previous prime is 100111120220101. The next prime is 100111120220119. The reversal of 100111120220111 is 111022021111001.

It is not a de Polignac number, because 100111120220111 - 2¹⁸ = 100111119957967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111120220119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381590660 + ... + 381852921.

It is an arithmetic number, because the mean of its divisors is an integer number (4232531218608).

Almost surely, 2^{100111120220111} is an apocalyptic number.

100111120220111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111120220111 is a deficient number, since it is larger than the sum of its proper divisors (35329878775345).

100111120220111 is a wasteful number, since it uses less digits than its factorization.

100111120220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763443743.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100111120220111 its reverse (111022021111001), we get a palindrome (211133141331112).

The spelling of 100111120220111 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty million, two hundred twenty thousand, one hundred eleven".