100105061110011 has 48 divisors (see below), whose sum is σ = 149430744983520. Its totient is φ = 64536316185600.

The previous prime is 100105061110009. The next prime is 100105061110057. The reversal of 100105061110011 is 110011160501001.

It is a happy number.

100105061110011 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 50 + 611 + 1 + 0 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 100105061110011 - 2¹ = 100105061110009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100105061115011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114599075 + ... + 1114688883.

It is an arithmetic number, because the mean of its divisors is an integer number (3113140520490).

Almost surely, 2^{100105061110011} is an apocalyptic number.

100105061110011 is a deficient number, since it is larger than the sum of its proper divisors (49325683873509).

100105061110011 is a wasteful number, since it uses less digits than its factorization.

100105061110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118476 (or 118473 counting only the distinct ones).

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

The spelling of 100105061110011 in words is "one hundred trillion, one hundred five billion, sixty-one million, one hundred ten thousand, eleven".