100350041141205 has 80 divisors (see below), whose sum is σ = 189881918582400. Its totient is φ = 50561942808960.

The previous prime is 100350041141107. The next prime is 100350041141227. The reversal of 100350041141205 is 502141140053001.

100350041141205 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 5 + 0 + 0 + 411 + 41 + 205 = 666.

It is not a de Polignac number, because 100350041141205 - 2¹² = 100350041137109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15400366 + ... + 20925375.

It is an arithmetic number, because the mean of its divisors is an integer number (2373523982280).

Almost surely, 2^{100350041141205} is an apocalyptic number.

100350041141205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100350041141205 is a deficient number, since it is larger than the sum of its proper divisors (89531877441195).

100350041141205 is a wasteful number, since it uses less digits than its factorization.

100350041141205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36326136 (or 36326127 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 100350041141205 its reverse (502141140053001), we get a palindrome (602491181194206).

The spelling of 100350041141205 in words is "one hundred trillion, three hundred fifty billion, forty-one million, one hundred forty-one thousand, two hundred five".