101123515530045 has 96 divisors (see below), whose sum is σ = 185164048742400. Its totient is φ = 50911997385600.

The previous prime is 101123515530031. The next prime is 101123515530097. The reversal of 101123515530045 is 540035515321101.

101123515530045 is a `hidden beast` number, since 1 + 0 + 1 + 12 + 3 + 51 + 553 + 0 + 0 + 45 = 666.

It is not a de Polignac number, because 101123515530045 - 2²⁶ = 101123448421181 is a prime.

It is a super-3 number, since 3×101123515530045³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101123515529991 and 101123515530009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396138400 + ... + 396393590.

It is an arithmetic number, because the mean of its divisors is an integer number (1928792174400).

Almost surely, 2^{101123515530045} is an apocalyptic number.

101123515530045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101123515530045 is a deficient number, since it is larger than the sum of its proper divisors (84040533212355).

101123515530045 is a wasteful number, since it uses less digits than its factorization.

101123515530045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256871 (or 256868 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 101123515530045 in words is "one hundred one trillion, one hundred twenty-three billion, five hundred fifteen million, five hundred thirty thousand, forty-five".