10010110000000 has 1024 divisors, whose sum is σ = 29626939779840. Its totient is φ = 3328000000000.

The previous prime is 10010109999997. The next prime is 10010110000061. The reversal of 10010110000000 is 1101001.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 99109999950 + ... + 99110000050.

Almost surely, 2^{10010110000000} is an apocalyptic number.

10010110000000 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 10010110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813469889920).

10010110000000 is an abundant number, since it is smaller than the sum of its proper divisors (19616829779840).

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

10010110000000 is an frugal number, since it uses more digits than its factorization.

10010110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 189 counting only the distinct ones).

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

Adding to 10010110000000 its reverse (1101001), we get a palindrome (10010111101001).

It can be divided in two parts, 100101 and 10000000, that added together give a palindrome (10100101).

The spelling of 10010110000000 in words is "ten trillion, ten billion, one hundred ten million", and thus it is an aban number.