100100605110111 has 40 divisors (see below), whose sum is σ = 149789608214400. Its totient is φ = 66619229004432.

The previous prime is 100100605110083. The next prime is 100100605110119. The reversal of 100100605110111 is 111011506001001.

It is a happy number.

It is not a de Polignac number, because 100100605110111 - 2²⁵ = 100100571555679 is a prime.

It is a super-2 number, since 2×100100605110111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100605110119) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1577175400 + ... + 1577238866.

It is an arithmetic number, because the mean of its divisors is an integer number (3744740205360).

Almost surely, 2^{100100605110111} is an apocalyptic number.

100100605110111 is a deficient number, since it is larger than the sum of its proper divisors (49689003104289).

100100605110111 is an equidigital number, since it uses as much as digits as its factorization.

100100605110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96585 (or 96576 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

The spelling of 100100605110111 in words is "one hundred trillion, one hundred billion, six hundred five million, one hundred ten thousand, one hundred eleven".