100778020992 has 768 divisors, whose sum is σ = 354303936000. Its totient is φ = 27885772800.

The previous prime is 100778020991. The next prime is 100778020997. The reversal of 100778020992 is 299020877001.

It is not an unprimeable number, because it can be changed into a prime (100778020991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1214192983 + ... + 1214193065.

It is an arithmetic number, because the mean of its divisors is an integer number (461333250).

Almost surely, 2^100778020992 is an apocalyptic number.

100778020992 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 100778020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177151968000).

100778020992 is an abundant number, since it is smaller than the sum of its proper divisors (253525915008).

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

100778020992 is a wasteful number, since it uses less digits than its factorization.

100778020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

Adding to 100778020992 its reverse (299020877001), we get a palindrome (399798897993).

The spelling of 100778020992 in words is "one hundred billion, seven hundred seventy-eight million, twenty thousand, nine hundred ninety-two".