10001128109100 has 144 divisors (see below), whose sum is σ = 29067066672000. Its totient is φ = 2654969472000.

The previous prime is 10001128109053. The next prime is 10001128109123. The reversal of 10001128109100 is 190182110001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59946399 + ... + 60113001.

Almost surely, 2^{10001128109100} is an apocalyptic number.

10001128109100 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 10001128109100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14533533336000).

10001128109100 is an abundant number, since it is smaller than the sum of its proper divisors (19065938562900).

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

10001128109100 is a wasteful number, since it uses less digits than its factorization.

10001128109100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167520 (or 167513 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 24.

The spelling of 10001128109100 in words is "ten trillion, one billion, one hundred twenty-eight million, one hundred nine thousand, one hundred".