100120213210000 has 100 divisors (see below), whose sum is σ = 245721612298492. Its totient is φ = 39499481088000.

The previous prime is 100120213209997. The next prime is 100120213210001. The reversal of 100120213210000 is 12312021001.

It can be written as a sum of positive squares in 10 ways, for example, as 62588857561344 + 37531355648656 = 7911312^2 + 6126284^2 .

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 (100120213210001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 67845489 + ... + 69305488.

Almost surely, 2^{100120213210000} is an apocalyptic number.

100120213210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120213210000 is an abundant number, since it is smaller than the sum of its proper divisors (145601399088492).

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

100120213210000 is an equidigital number, since it uses as much as digits as its factorization.

100120213210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137151078 (or 137151057 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100120213210000 its reverse (12312021001), we get a palindrome (100132525231001).

The spelling of 100120213210000 in words is "one hundred trillion, one hundred twenty billion, two hundred thirteen million, two hundred ten thousand".