101001010000000 has 512 divisors, whose sum is σ = 277127712426240. Its totient is φ = 36360000000000.

The previous prime is 101001009999983. The next prime is 101001010000049. The reversal of 101001010000000 is 10100101.

101001010000000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11109995455 + ... + 11110004545.

Almost surely, 2^{101001010000000} is an apocalyptic number.

101001010000000 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 101001010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138563856213120).

101001010000000 is an abundant number, since it is smaller than the sum of its proper divisors (176126702426240).

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

101001010000000 is an frugal number, since it uses more digits than its factorization.

101001010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9252 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101001010000000 its reverse (10100101), we get a palindrome (101001020100101).

101001010000000 divided by its reverse (10100101) gives a 7-th power (10000000 = 10⁷).

The spelling of 101001010000000 in words is "one hundred one trillion, one billion, ten million", and thus it is an aban number.