101005100505110 has 32 divisors (see below), whose sum is σ = 187272521208864. Its totient is φ = 39198853152000.

The previous prime is 101005100505097. The next prime is 101005100505157. The reversal of 101005100505110 is 11505001500101.

It is a super-2 number, since 2×101005100505110² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 680461436 + ... + 680609855.

It is an arithmetic number, because the mean of its divisors is an integer number (5852266287777).

Almost surely, 2^{101005100505110} is an apocalyptic number.

101005100505110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101005100505110 is a deficient number, since it is larger than the sum of its proper divisors (86267420703754).

101005100505110 is a wasteful number, since it uses less digits than its factorization.

101005100505110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361071520.

The product of its (nonzero) digits is 125, while the sum is 20.

The spelling of 101005100505110 in words is "one hundred one trillion, five billion, one hundred million, five hundred five thousand, one hundred ten".