10511056040100 has 576 divisors, whose sum is σ = 38576121636864. Its totient is φ = 2146176000000.

The previous prime is 10511056040059. The next prime is 10511056040119. The reversal of 10511056040100 is 104065011501.

It is a super-2 number, since 2×10511056040100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1692325995 + ... + 1692332205.

Almost surely, 2^{10511056040100} is an apocalyptic number.

10511056040100 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 10511056040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19288060818432).

10511056040100 is an abundant number, since it is smaller than the sum of its proper divisors (28065065596764).

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

10511056040100 is a wasteful number, since it uses less digits than its factorization.

10511056040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 10511056040100 in words is "ten trillion, five hundred eleven billion, fifty-six million, forty thousand, one hundred".