101111111001100 has 18 divisors (see below), whose sum is σ = 219411110872604. Its totient is φ = 40444444400400.

The previous prime is 101111111001031. The next prime is 101111111001113. The reversal of 101111111001100 is 1100111111101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505555554906 + ... + 505555555105.

Almost surely, 2^{101111111001100} is an apocalyptic number.

101111111001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111111001100 is an abundant number, since it is smaller than the sum of its proper divisors (118299999871504).

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

101111111001100 is a wasteful number, since it uses less digits than its factorization.

101111111001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011111110025 (or 1011111110018 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101111111001100 its reverse (1100111111101), we get a palindrome (102211222112201).

It can be divided in two parts, 101111111001 and 100, that added together give a palindrome (101111111101).

The spelling of 101111111001100 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one thousand, one hundred".