100505501601011 has 64 divisors (see below), whose sum is σ = 115335385643520. Its totient is φ = 86920454799360.

The previous prime is 100505501600957. The next prime is 100505501601061. The reversal of 100505501601011 is 110106105505001.

It is not a de Polignac number, because 100505501601011 - 2¹⁴ = 100505501584627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100505501601061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3009941126 + ... + 3009974516.

It is an arithmetic number, because the mean of its divisors is an integer number (1802115400680).

Almost surely, 2^{100505501601011} is an apocalyptic number.

100505501601011 is a deficient number, since it is larger than the sum of its proper divisors (14829884042509).

100505501601011 is a wasteful number, since it uses less digits than its factorization.

100505501601011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35136.

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 100505501601011 in words is "one hundred trillion, five hundred five billion, five hundred one million, six hundred one thousand, eleven".