100010011210000 has 100 divisors (see below), whose sum is σ = 242139107529484. Its totient is φ = 40003200000000.

The previous prime is 100010011209961. The next prime is 100010011210009. The reversal of 100010011210000 is 12110010001.

It can be written as a sum of positive squares in 10 ways, for example, as 37147757250816 + 62862253959184 = 6094896^2 + 7928572^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (100010011210009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 899954440 + ... + 900065560.

Almost surely, 2^{100010011210000} is an apocalyptic number.

100010011210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010011210000 is an abundant number, since it is smaller than the sum of its proper divisors (142129096319484).

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

100010011210000 is an equidigital number, since it uses as much as digits as its factorization.

100010011210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201150 (or 201129 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100010011210000 its reverse (12110010001), we get a palindrome (100022121220001).

The spelling of 100010011210000 in words is "one hundred trillion, ten billion, eleven million, two hundred ten thousand".