100501106101011 has 48 divisors (see below), whose sum is σ = 181008924864768. Its totient is φ = 52202620670400.

The previous prime is 100501106101001. The next prime is 100501106101037. The reversal of 100501106101011 is 110101601105001.

It is a happy number.

100501106101011 is a `hidden beast` number, since 1 + 0 + 0 + 50 + 1 + 1 + 0 + 610 + 1 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 100501106101011 - 2⁵ = 100501106100979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100501106101001) 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, 1676136 + ... + 14276261.

It is an arithmetic number, because the mean of its divisors is an integer number (3771019268016).

Almost surely, 2^{100501106101011} is an apocalyptic number.

100501106101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100501106101011 is a deficient number, since it is larger than the sum of its proper divisors (80507818763757).

100501106101011 is a wasteful number, since it uses less digits than its factorization.

100501106101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15961512 (or 15961509 counting only the distinct ones).

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

Adding to 100501106101011 its reverse (110101601105001), we get a palindrome (210602707206012).

The spelling of 100501106101011 in words is "one hundred trillion, five hundred one billion, one hundred six million, one hundred one thousand, eleven".