100012422100 has 36 divisors (see below), whose sum is σ = 217053099900. Its totient is φ = 40000149760.

The previous prime is 100012422017. The next prime is 100012422109. The reversal of 100012422100 is 1224210001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10029221316 + 89983200784 = 100146^2 + 299972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012422109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841146 + ... + 952654.

It is an arithmetic number, because the mean of its divisors is an integer number (6029252775).

Almost surely, 2^100012422100 is an apocalyptic number.

100012422100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012422100 is an abundant number, since it is smaller than the sum of its proper divisors (117040677800).

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

100012422100 is a wasteful number, since it uses less digits than its factorization.

100012422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120492 (or 120485 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100012422100 its reverse (1224210001), we get a palindrome (101236632101).

The spelling of 100012422100 in words is "one hundred billion, twelve million, four hundred twenty-two thousand, one hundred".