10101100010000 has 50 divisors (see below), whose sum is σ = 24455773258422. Its totient is φ = 4040440000000.

The previous prime is 10101100009981. The next prime is 10101100010041. The reversal of 10101100010000 is 1000110101.

It can be written as a sum of positive squares in 5 ways, for example, as 6801747456256 + 3299352553744 = 2608016^2 + 1816412^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 505045001 + ... + 505065000.

Almost surely, 2^{10101100010000} is an apocalyptic number.

10101100010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101100010000 is an abundant number, since it is smaller than the sum of its proper divisors (14354673248422).

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

10101100010000 is an equidigital number, since it uses as much as digits as its factorization.

10101100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010110029 (or 1010110008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10101100010000 its reverse (1000110101), we get a palindrome (10102100120101).

The spelling of 10101100010000 in words is "ten trillion, one hundred one billion, one hundred million, ten thousand".