100242210012 has 36 divisors (see below), whose sum is σ = 272086000200. Its totient is φ = 28640631264.

The previous prime is 100242209993. The next prime is 100242210017. The reversal of 100242210012 is 210012242001.

It is a junction number, because it is equal to n+sod(n) for n = 100242209973 and 100242210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100242210017) 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 11 ways as a sum of consecutive naturals, for example, 85239387 + ... + 85240562.

It is an arithmetic number, because the mean of its divisors is an integer number (7557944450).

Almost surely, 2^100242210012 is an apocalyptic number.

100242210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100242210012 is an abundant number, since it is smaller than the sum of its proper divisors (171843790188).

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

100242210012 is a wasteful number, since it uses less digits than its factorization.

100242210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170479970 (or 170479961 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100242210012 its reverse (210012242001), we get a palindrome (310254452013).

The spelling of 100242210012 in words is "one hundred billion, two hundred forty-two million, two hundred ten thousand, twelve".