4891011100100 has 72 divisors (see below), whose sum is σ = 11364085230120. Its totient is φ = 1820632760320.

The previous prime is 4891011100069. The next prime is 4891011100103. The reversal of 4891011100100 is 10011101984.

It can be written as a sum of positive squares in 12 ways, for example, as 639101115844 + 4251909984256 = 799438^2 + 2062016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4891011100100.

It is not an unprimeable number, because it can be changed into a prime (4891011100103) 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 23 ways as a sum of consecutive naturals, for example, 16011989 + ... + 16314588.

It is an arithmetic number, because the mean of its divisors is an integer number (157834517085).

Almost surely, 2^{4891011100100} is an apocalyptic number.

It is an amenable number.

4891011100100 is an abundant number, since it is smaller than the sum of its proper divisors (6473074130020).

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

4891011100100 is a wasteful number, since it uses less digits than its factorization.

4891011100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32326697 (or 32326690 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 4891011100100 in words is "four trillion, eight hundred ninety-one billion, eleven million, one hundred thousand, one hundred".