100010101055505 has 64 divisors (see below), whose sum is σ = 161561178001152. Its totient is φ = 52826210841600.

The previous prime is 100010101055489. The next prime is 100010101055507. The reversal of 100010101055505 is 505550101010001.

It is not a de Polignac number, because 100010101055505 - 2⁴ = 100010101055489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100010101055507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2506436055 + ... + 2506475955.

It is an arithmetic number, because the mean of its divisors is an integer number (2524393406268).

Almost surely, 2^{100010101055505} is an apocalyptic number.

100010101055505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100010101055505 is a deficient number, since it is larger than the sum of its proper divisors (61551076945647).

100010101055505 is a wasteful number, since it uses less digits than its factorization.

100010101055505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43778.

The product of its (nonzero) digits is 625, while the sum is 24.

Adding to 100010101055505 its reverse (505550101010001), we get a palindrome (605560202065506).

The spelling of 100010101055505 in words is "one hundred trillion, ten billion, one hundred one million, fifty-five thousand, five hundred five".