100505105050051 has 16 divisors (see below), whose sum is σ = 112121975710080. Its totient is φ = 89494184609280.

The previous prime is 100505105049983. The next prime is 100505105050109. The reversal of 100505105050051 is 150050501505001.

It is a cyclic number.

It is not a de Polignac number, because 100505105050051 - 2⁴⁵ = 65320732961219 is a prime.

It is a super-2 number, since 2×100505105050051² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100505105057051) 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, 1059306075 + ... + 1059400948.

It is an arithmetic number, because the mean of its divisors is an integer number (7007623481880).

Almost surely, 2^{100505105050051} is an apocalyptic number.

100505105050051 is a deficient number, since it is larger than the sum of its proper divisors (11616870660029).

100505105050051 is a wasteful number, since it uses less digits than its factorization.

100505105050051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118707166.

The product of its (nonzero) digits is 3125, while the sum is 28.

Adding to 100505105050051 its reverse (150050501505001), we get a palindrome (250555606555052).

The spelling of 100505105050051 in words is "one hundred trillion, five hundred five billion, one hundred five million, fifty thousand, fifty-one".