1011005560100 has 72 divisors (see below), whose sum is σ = 2323230053760. Its totient is φ = 380565342720.

The previous prime is 1011005560091. The next prime is 1011005560127. The reversal of 1011005560100 is 10655001101.

It is a super-2 number, since 2×1011005560100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15074441 + ... + 15141359.

It is an arithmetic number, because the mean of its divisors is an integer number (32267084080).

Almost surely, 2^{1011005560100} is an apocalyptic number.

1011005560100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011005560100 is an abundant number, since it is smaller than the sum of its proper divisors (1312224493660).

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

1011005560100 is a wasteful number, since it uses less digits than its factorization.

1011005560100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75837 (or 75830 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 1011005560100 in words is "one trillion, eleven billion, five million, five hundred sixty thousand, one hundred".