100124504514020 has 36 divisors (see below), whose sum is σ = 244589861029500. Its totient is φ = 34328401547328.

The previous prime is 100124504514019. The next prime is 100124504514131. The reversal of 100124504514020 is 20415405421001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49263188463076 + 50861316050944 = 7018774^2 + 7131712^2 .

It is a super-3 number, since 3×100124504514020³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51083929895 + ... + 51083931854.

It is an arithmetic number, because the mean of its divisors is an integer number (6794162806375).

Almost surely, 2^{100124504514020} is an apocalyptic number.

100124504514020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100124504514020 is an abundant number, since it is smaller than the sum of its proper divisors (144465356515480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100124504514020 is a wasteful number, since it uses less digits than its factorization.

100124504514020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102167861772 (or 102167861763 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 100124504514020 its reverse (20415405421001), we get a palindrome (120539909935021).

The spelling of 100124504514020 in words is "one hundred trillion, one hundred twenty-four billion, five hundred four million, five hundred fourteen thousand, twenty".