1000910100100 has 36 divisors (see below), whose sum is σ = 2196379149300. Its totient is φ = 395865564160.

The previous prime is 1000910100079. The next prime is 1000910100149. The reversal of 1000910100100 is 10010190001.

It can be written as a sum of positive squares in 6 ways, for example, as 364910230084 + 635999870016 = 604078^2 + 797496^2 .

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, 56222005 + ... + 56239804.

It is an arithmetic number, because the mean of its divisors is an integer number (61010531925).

Almost surely, 2^{1000910100100} is an apocalyptic number.

1000910100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000910100100 is an abundant number, since it is smaller than the sum of its proper divisors (1195469049200).

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

1000910100100 is a wasteful number, since it uses less digits than its factorization.

1000910100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112461912 (or 112461905 counting only the distinct ones).

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

Adding to 1000910100100 its reverse (10010190001), we get a palindrome (1010920290101).

The spelling of 1000910100100 in words is "one trillion, nine hundred ten million, one hundred thousand, one hundred".