10120021010000 has 100 divisors (see below), whose sum is σ = 26728999782144. Its totient is φ = 3680007600000.

The previous prime is 10120021009963. The next prime is 10120021010081. The reversal of 10120021010000 is 1012002101.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10120021010000.

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, 45890096 + ... + 46110095.

Almost surely, 2^{10120021010000} is an apocalyptic number.

10120021010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120021010000 is an abundant number, since it is smaller than the sum of its proper divisors (16608978772144).

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

10120021010000 is an equidigital number, since it uses as much as digits as its factorization.

10120021010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92000230 (or 92000209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120021010000 its reverse (1012002101), we get a palindrome (10121033012101).

10120021010000 divided by its reverse (1012002101) gives a 4-th power (10000 = 10⁴).

The spelling of 10120021010000 in words is "ten trillion, one hundred twenty billion, twenty-one million, ten thousand".