10100001020000 has 120 divisors (see below), whose sum is σ = 25067412653976. Its totient is φ = 4004247296000.

The previous prime is 10100001019973. The next prime is 10100001020069. The reversal of 10100001020000 is 2010000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25487 + ... + 4494513.

Almost surely, 2^{10100001020000} is an apocalyptic number.

10100001020000 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 10100001020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12533706326988).

10100001020000 is an abundant number, since it is smaller than the sum of its proper divisors (14967411633976).

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

10100001020000 is an equidigital number, since it uses as much as digits as its factorization.

10100001020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469170 (or 4469147 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10100001020000 its reverse (2010000101), we get a palindrome (10102011020101).

The spelling of 10100001020000 in words is "ten trillion, one hundred billion, one million, twenty thousand".