100122780912 has 320 divisors, whose sum is σ = 344113213440. Its totient is φ = 24298444800.

The previous prime is 100122780911. The next prime is 100122780913. The reversal of 100122780912 is 219087221001.

It is an interprime number because it is at equal distance from previous prime (100122780911) and next prime (100122780913).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122780911) 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 63 ways as a sum of consecutive naturals, for example, 5116587 + ... + 5136117.

It is an arithmetic number, because the mean of its divisors is an integer number (1075353792).

Almost surely, 2^100122780912 is an apocalyptic number.

100122780912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122780912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172056606720).

100122780912 is an abundant number, since it is smaller than the sum of its proper divisors (243990432528).

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

100122780912 is a wasteful number, since it uses less digits than its factorization.

100122780912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19652 (or 19646 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 100122780912 in words is "one hundred billion, one hundred twenty-two million, seven hundred eighty thousand, nine hundred twelve".