10010110200000 has 168 divisors, whose sum is σ = 33104237224464. Its totient is φ = 2669362560000.

The previous prime is 10010110199989. The next prime is 10010110200001. The reversal of 10010110200000 is 201101001.

It is a super-2 number, since 2×10010110200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10010110200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7741759 + ... + 8941758.

It is an arithmetic number, because the mean of its divisors is an integer number (197049031098).

Almost surely, 2^{10010110200000} is an apocalyptic number.

10010110200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010110200000 is an abundant number, since it is smaller than the sum of its proper divisors (23094127024464).

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

10010110200000 is an frugal number, since it uses more digits than its factorization.

10010110200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16683557 (or 16683527 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10010110200000 its reverse (201101001), we get a palindrome (10010311301001).

The spelling of 10010110200000 in words is "ten trillion, ten billion, one hundred ten million, two hundred thousand".