101111000001100 has 72 divisors (see below), whose sum is σ = 219741002863200. Its totient is φ = 40383555072000.

The previous prime is 101111000001091. The next prime is 101111000001101. The reversal of 101111000001100 is 1100000111101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101111000001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1034557036 + ... + 1034654764.

It is an arithmetic number, because the mean of its divisors is an integer number (3051958373100).

Almost surely, 2^{101111000001100} is an apocalyptic number.

101111000001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111000001100 is an abundant number, since it is smaller than the sum of its proper divisors (118630002862100).

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

101111000001100 is a wasteful number, since it uses less digits than its factorization.

101111000001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113203 (or 113196 counting only the distinct ones).

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

Adding to 101111000001100 its reverse (1100000111101), we get a palindrome (102211000112201).

The spelling of 101111000001100 in words is "one hundred one trillion, one hundred eleven billion, one thousand, one hundred".