100105500106011 has 16 divisors (see below), whose sum is σ = 138144269894400. Its totient is φ = 64404122461728.

The previous prime is 100105500105889. The next prime is 100105500106019. The reversal of 100105500106011 is 110601005501001.

It is a happy number.

It is not a de Polignac number, because 100105500106011 - 2¹³ = 100105500097819 is a prime.

It is a super-2 number, since 2×100105500106011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105500106019) 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, 281980021 + ... + 282334806.

It is an arithmetic number, because the mean of its divisors is an integer number (8634016868400).

Almost surely, 2^{100105500106011} is an apocalyptic number.

100105500106011 is a deficient number, since it is larger than the sum of its proper divisors (38038769788389).

100105500106011 is a wasteful number, since it uses less digits than its factorization.

100105500106011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564316898.

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

Adding to 100105500106011 its reverse (110601005501001), we get a palindrome (210706505607012).

The spelling of 100105500106011 in words is "one hundred trillion, one hundred five billion, five hundred million, one hundred six thousand, eleven".