10101101111100 has 108 divisors (see below), whose sum is σ = 33523772091264. Its totient is φ = 2535178314240.

The previous prime is 10101101111051. The next prime is 10101101111107. The reversal of 10101101111100 is 111110110101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101101111107) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 330086044 + ... + 330116643.

Almost surely, 2^{10101101111100} is an apocalyptic number.

10101101111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101101111100 is an abundant number, since it is smaller than the sum of its proper divisors (23422670980164).

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

10101101111100 is a wasteful number, since it uses less digits than its factorization.

10101101111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660202724 (or 660202714 counting only the distinct ones).

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

Adding to 10101101111100 its reverse (111110110101), we get a palindrome (10212211221201).

The spelling of 10101101111100 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, one hundred".