100105000101111 has 16 divisors (see below), whose sum is σ = 135232429883616. Its totient is φ = 65862187969536.

The previous prime is 100105000101109. The next prime is 100105000101143. The reversal of 100105000101111 is 111101000501001.

It is a happy number.

It is not a de Polignac number, because 100105000101111 - 2¹ = 100105000101109 is a prime.

It is a super-2 number, since 2×100105000101111² (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 (100105000103111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633601240 + ... + 633759213.

It is an arithmetic number, because the mean of its divisors is an integer number (8452026867726).

Almost surely, 2^{100105000101111} is an apocalyptic number.

100105000101111 is a deficient number, since it is larger than the sum of its proper divisors (35127429782505).

100105000101111 is a wasteful number, since it uses less digits than its factorization.

100105000101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267360802.

The product of its (nonzero) digits is 5, while the sum is 12.

Adding to 100105000101111 its reverse (111101000501001), we get a palindrome (211206000602112).

The spelling of 100105000101111 in words is "one hundred trillion, one hundred five billion, one hundred one thousand, one hundred eleven".