10010110101100 has 72 divisors (see below), whose sum is σ = 21887438090000. Its totient is φ = 3973646073600.

The previous prime is 10010110101097. The next prime is 10010110101109. The reversal of 10010110101100 is 110101101001.

It is a happy number.

It is a super-2 number, since 2×10010110101100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10010110101109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6684226 + ... + 8043574.

Almost surely, 2^{10010110101100} is an apocalyptic number.

10010110101100 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 10010110101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10943719045000).

10010110101100 is an abundant number, since it is smaller than the sum of its proper divisors (11877327988900).

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

10010110101100 is a wasteful number, since it uses less digits than its factorization.

10010110101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359923 (or 1359916 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10010110101100 its reverse (110101101001), we get a palindrome (10120211202101).

Subtracting from 10010110101100 its reverse (110101101001), we obtain a palindrome (9900009000099).

The spelling of 10010110101100 in words is "ten trillion, ten billion, one hundred ten million, one hundred one thousand, one hundred".