10100910000100 has 18 divisors (see below), whose sum is σ = 21918974700434. Its totient is φ = 4040364000000.

The previous prime is 10100910000079. The next prime is 10100910000119. The reversal of 10100910000100 is 100001900101.

It can be written as a sum of positive squares in 3 ways, for example, as 1216075206564 + 8884834793536 = 1102758^2 + 2980744^2 .

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 5 ways as a sum of consecutive naturals, for example, 50504549901 + ... + 50504550100.

Almost surely, 2^{10100910000100} is an apocalyptic number.

10100910000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100910000100 is an abundant number, since it is smaller than the sum of its proper divisors (11818064700334).

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

10100910000100 is a wasteful number, since it uses less digits than its factorization.

10100910000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101009100015 (or 101009100008 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10100910000100 its reverse (100001900101), we get a palindrome (10200911900201).

The spelling of 10100910000100 in words is "ten trillion, one hundred billion, nine hundred ten million, one hundred", and thus it is an aban number.