10101100330000 has 100 divisors (see below), whose sum is σ = 25024514004688. Its totient is φ = 3946476240000.

The previous prime is 10101100329989. The next prime is 10101100330021. The reversal of 10101100330000 is 3300110101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×10101100330000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11315466 + ... + 12175465.

Almost surely, 2^{10101100330000} is an apocalyptic number.

10101100330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101100330000 is an abundant number, since it is smaller than the sum of its proper divisors (14923413674688).

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

10101100330000 is an equidigital number, since it uses as much as digits as its factorization.

10101100330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23491002 (or 23490981 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10101100330000 its reverse (3300110101), we get a palindrome (10104400440101).

The spelling of 10101100330000 in words is "ten trillion, one hundred one billion, one hundred million, three hundred thirty thousand".