10040100002000 has 80 divisors (see below), whose sum is σ = 24300065809344. Its totient is φ = 4012218000000.

The previous prime is 10040100001963. The next prime is 10040100002029. The reversal of 10040100002000 is 20000104001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286226 + ... + 4490225.

Almost surely, 2^{10040100002000} is an apocalyptic number.

10040100002000 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 10040100002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12150032904672).

10040100002000 is an abundant number, since it is smaller than the sum of its proper divisors (14259965807344).

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

10040100002000 is a wasteful number, since it uses less digits than its factorization.

10040100002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777525 (or 4777509 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10040100002000 its reverse (20000104001), we get a palindrome (10060100106001).

The spelling of 10040100002000 in words is "ten trillion, forty billion, one hundred million, two thousand".