1010005050100 has 18 divisors (see below), whose sum is σ = 2191710958934. Its totient is φ = 404002020000.

The previous prime is 1010005050083. The next prime is 1010005050113. The reversal of 1010005050100 is 10505000101.

It can be written as a sum of positive squares in 3 ways, for example, as 333314547556 + 676690502544 = 577334^2 + 822612^2 .

It is a super-2 number, since 2×1010005050100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5050025151 + ... + 5050025350.

Almost surely, 2^{1010005050100} is an apocalyptic number.

1010005050100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010005050100 is an abundant number, since it is smaller than the sum of its proper divisors (1181705908834).

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

1010005050100 is a wasteful number, since it uses less digits than its factorization.

1010005050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100050515 (or 10100050508 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

The spelling of 1010005050100 in words is "one trillion, ten billion, five million, fifty thousand, one hundred".