10010100910000 has 400 divisors, whose sum is σ = 25017008594688. Its totient is φ = 3877632000000.

The previous prime is 10010100909973. The next prime is 10010100910001. The reversal of 10010100910000 is 1900101001.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (10010100910001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 10101009505 + ... + 10101010495.

Almost surely, 2^{10010100910000} is an apocalyptic number.

10010100910000 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 10010100910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12508504297344).

10010100910000 is an abundant number, since it is smaller than the sum of its proper divisors (15006907684688).

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

10010100910000 is a wasteful number, since it uses less digits than its factorization.

10010100910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 10010100910000 in words is "ten trillion, ten billion, one hundred million, nine hundred ten thousand".