10100110002000 has 320 divisors, whose sum is σ = 33471291819264. Its totient is φ = 2618338867200.

The previous prime is 10100110001987. The next prime is 10100110002001. The reversal of 10100110002000 is 20001100101.

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 10100110002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100110002001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269267247 + ... + 269304753.

Almost surely, 2^{10100110002000} is an apocalyptic number.

10100110002000 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 10100110002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735645909632).

10100110002000 is an abundant number, since it is smaller than the sum of its proper divisors (23371181817264).

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

10100110002000 is a wasteful number, since it uses less digits than its factorization.

10100110002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38783 (or 38767 counting only the distinct ones).

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

Adding to 10100110002000 its reverse (20001100101), we get a palindrome (10120111102101).

The spelling of 10100110002000 in words is "ten trillion, one hundred billion, one hundred ten million, two thousand".