100105005511101 has 16 divisors (see below), whose sum is σ = 134148760064000. Its totient is φ = 66398984145648.

The previous prime is 100105005511081. The next prime is 100105005511123. The reversal of 100105005511101 is 101115500501001.

It is not a de Polignac number, because 100105005511101 - 2⁶ = 100105005511037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105005512101) 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, 14203560 + ... + 20048718.

It is an arithmetic number, because the mean of its divisors is an integer number (8384297504000).

Almost surely, 2^{100105005511101} is an apocalyptic number.

It is an amenable number.

100105005511101 is a deficient number, since it is larger than the sum of its proper divisors (34043754552899).

100105005511101 is a wasteful number, since it uses less digits than its factorization.

100105005511101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874048.

The product of its (nonzero) digits is 125, while the sum is 21.

The spelling of 100105005511101 in words is "one hundred trillion, one hundred five billion, five million, five hundred eleven thousand, one hundred one".