100771920000 has 480 divisors, whose sum is σ = 383723091180. Its totient is φ = 25288704000.

The previous prime is 100771919977. The next prime is 100771920013. The reversal of 100771920000 is 29177001.

It can be written as a sum of positive squares in 10 ways, for example, as 8846531136 + 91925388864 = 94056^2 + 303192^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 12235884 + ... + 12244116.

Almost surely, 2^100771920000 is an apocalyptic number.

100771920000 is a gapful number since it is divisible by the number (10) 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 100771920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191861545590).

100771920000 is an abundant number, since it is smaller than the sum of its proper divisors (282951171180).

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

100771920000 is an equidigital number, since it uses as much as digits as its factorization.

100771920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8290 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The spelling of 100771920000 in words is "one hundred billion, seven hundred seventy-one million, nine hundred twenty thousand".