100506011056011 has 48 divisors (see below), whose sum is σ = 159356501111808. Its totient is φ = 60534666489600.

The previous prime is 100506011055991. The next prime is 100506011056027. The reversal of 100506011056011 is 110650110605001.

100506011056011 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 601 + 1 + 0 + 56 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 100506011056011 - 2¹⁴ = 100506011039627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100506011056811) 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, 74740590 + ... + 76073436.

It is an arithmetic number, because the mean of its divisors is an integer number (3319927106496).

Almost surely, 2^{100506011056011} is an apocalyptic number.

100506011056011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100506011056011 is a deficient number, since it is larger than the sum of its proper divisors (58850490055797).

100506011056011 is a wasteful number, since it uses less digits than its factorization.

100506011056011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337592 (or 1337589 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 100506011056011 in words is "one hundred trillion, five hundred six billion, eleven million, fifty-six thousand, eleven".