100505510501051 has 16 divisors (see below), whose sum is σ = 106513870968864. Its totient is φ = 94507885215744.

The previous prime is 100505510500991. The next prime is 100505510501057. The reversal of 100505510501051 is 150105015505001.

It is a happy number.

It is not a de Polignac number, because 100505510501051 - 2⁶ = 100505510500987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100505510501057) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 83611355 + ... + 84804891.

It is an arithmetic number, because the mean of its divisors is an integer number (6657116935554).

Almost surely, 2^{100505510501051} is an apocalyptic number.

100505510501051 is a deficient number, since it is larger than the sum of its proper divisors (6008360467813).

100505510501051 is a wasteful number, since it uses less digits than its factorization.

100505510501051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198030.

The product of its (nonzero) digits is 3125, while the sum is 29.

The spelling of 100505510501051 in words is "one hundred trillion, five hundred five billion, five hundred ten million, five hundred one thousand, fifty-one".