10101111101100 has 432 divisors, whose sum is σ = 33335553888000. Its totient is φ = 2554572787200.

The previous prime is 10101111101093. The next prime is 10101111101173. The reversal of 10101111101100 is 110111110101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2893470355 + ... + 2893473845.

It is an arithmetic number, because the mean of its divisors is an integer number (77165634000).

Almost surely, 2^{10101111101100} is an apocalyptic number.

10101111101100 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 10101111101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16667776944000).

10101111101100 is an abundant number, since it is smaller than the sum of its proper divisors (23234442786900).

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

10101111101100 is a wasteful number, since it uses less digits than its factorization.

10101111101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10101111101100 its reverse (110111110101), we get a palindrome (10211222211201).

Subtracting from 10101111101100 its reverse (110111110101), we obtain a palindrome (9990999990999).

The spelling of 10101111101100 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred".