10000110102000 has 160 divisors (see below), whose sum is σ = 33111716649024. Its totient is φ = 2594623104000.

The previous prime is 10000110101977. The next prime is 10000110102083. The reversal of 10000110102000 is 20101100001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10000110102000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 22300771 + ... + 22744770.

Almost surely, 2^{10000110102000} is an apocalyptic number.

10000110102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000110102000 is an abundant number, since it is smaller than the sum of its proper divisors (23111606547024).

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

10000110102000 is a wasteful number, since it uses less digits than its factorization.

10000110102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45045604 (or 45045588 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000110102000 its reverse (20101100001), we get a palindrome (10020211202001).

The spelling of 10000110102000 in words is "ten trillion, one hundred ten million, one hundred two thousand".