10010500000100 has 18 divisors (see below), whose sum is σ = 21722785000434. Its totient is φ = 4004200000000.

The previous prime is 10010500000057. The next prime is 10010500000139. The reversal of 10010500000100 is 100000501001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8988004 + 10010491012096 = 2998^2 + 3163936^2 .

It is a super-2 number, since 2×10010500000100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50052499901 + ... + 50052500100.

It is an arithmetic number, because the mean of its divisors is an integer number (1206821388913).

Almost surely, 2^{10010500000100} is an apocalyptic number.

10010500000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010500000100 is an abundant number, since it is smaller than the sum of its proper divisors (11712285000334).

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

10010500000100 is a wasteful number, since it uses less digits than its factorization.

10010500000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100105000015 (or 100105000008 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

Adding to 10010500000100 its reverse (100000501001), we get a palindrome (10110500501101).

The spelling of 10010500000100 in words is "ten trillion, ten billion, five hundred million, one hundred", and thus it is an aban number.