1001011100080 has 80 divisors (see below), whose sum is σ = 2385171339264. Its totient is φ = 390465474560.

The previous prime is 1001011100071. The next prime is 1001011100081. The reversal of 1001011100080 is 800011101001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1001011100080.

It is not an unprimeable number, because it can be changed into a prime (1001011100081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7467729 + ... + 7600591.

Almost surely, 2^{1001011100080} is an apocalyptic number.

1001011100080 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 1001011100080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192585669632).

1001011100080 is an abundant number, since it is smaller than the sum of its proper divisors (1384160239184).

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

1001011100080 is a wasteful number, since it uses less digits than its factorization.

1001011100080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135214 (or 135208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1001011100080 its reverse (800011101001), we get a palindrome (1801022201081).

The spelling of 1001011100080 in words is "one trillion, one billion, eleven million, one hundred thousand, eighty".