100012112010100 has 36 divisors (see below), whose sum is σ = 218280770285004. Its totient is φ = 39773602919680.

The previous prime is 100012112010089. The next prime is 100012112010113. The reversal of 100012112010100 is 1010211210001.

It can be written as a sum of positive squares in 6 ways, for example, as 1645149977956 + 98366962032144 = 1282634^2 + 9918012^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 2890506169 + ... + 2890540768.

It is an arithmetic number, because the mean of its divisors is an integer number (6063354730139).

Almost surely, 2^{100012112010100} is an apocalyptic number.

100012112010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012112010100 is an abundant number, since it is smaller than the sum of its proper divisors (118268658274904).

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

100012112010100 is a wasteful number, since it uses less digits than its factorization.

100012112010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781047124 (or 5781047117 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100012112010100 its reverse (1010211210001), we get a palindrome (101022323220101).

The spelling of 100012112010100 in words is "one hundred trillion, twelve billion, one hundred twelve million, ten thousand, one hundred".