10771073400100 has 36 divisors (see below), whose sum is σ = 25171169994964. Its totient is φ = 3977011716480.

The previous prime is 10771073400097. The next prime is 10771073400107. The reversal of 10771073400100 is 100437017701.

It can be written as a sum of positive squares in 6 ways, for example, as 46129589284 + 10724943810816 = 214778^2 + 3274896^2 .

It is not an unprimeable number, because it can be changed into a prime (10771073400107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4142719239 + ... + 4142721838.

Almost surely, 2^{10771073400100} is an apocalyptic number.

10771073400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10771073400100 is an abundant number, since it is smaller than the sum of its proper divisors (14400096594864).

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

10771073400100 is a wasteful number, since it uses less digits than its factorization.

10771073400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285441104 (or 8285441097 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 31.

The spelling of 10771073400100 in words is "ten trillion, seven hundred seventy-one billion, seventy-three million, four hundred thousand, one hundred".