10101102010000 has 50 divisors (see below), whose sum is σ = 24455778100622. Its totient is φ = 4040440800000.

The previous prime is 10101102009983. The next prime is 10101102010007. The reversal of 10101102010000 is 1020110101.

10101102010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 3319786032784 + 6781315977216 = 1822028^2 + 2604096^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (10101102010007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 505045101 + ... + 505065100.

Almost surely, 2^{10101102010000} is an apocalyptic number.

10101102010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101102010000 is an abundant number, since it is smaller than the sum of its proper divisors (14354676090622).

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

10101102010000 is an equidigital number, since it uses as much as digits as its factorization.

10101102010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010110229 (or 1010110208 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10101102010000 its reverse (1020110101), we get a palindrome (10102122120101).

The spelling of 10101102010000 in words is "ten trillion, one hundred one billion, one hundred two million, ten thousand".