100105106005011 has 16 divisors (see below), whose sum is σ = 133548719802624. Its totient is φ = 66699118840224.

The previous prime is 100105106004997. The next prime is 100105106005027. The reversal of 100105106005011 is 110500601501001.

It is a happy number.

It is not a de Polignac number, because 100105106005011 - 2¹⁷ = 100105105873939 is a prime.

It is a super-2 number, since 2×100105106005011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105106005031) 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, 99782785 + ... + 100781021.

It is an arithmetic number, because the mean of its divisors is an integer number (8346794987664).

Almost surely, 2^{100105106005011} is an apocalyptic number.

100105106005011 is a deficient number, since it is larger than the sum of its proper divisors (33443613797613).

100105106005011 is a wasteful number, since it uses less digits than its factorization.

100105106005011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017050.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 100105106005011 its reverse (110500601501001), we get a palindrome (210605707506012).

The spelling of 100105106005011 in words is "one hundred trillion, one hundred five billion, one hundred six million, five thousand, eleven".