101101001001100 has 36 divisors (see below), whose sum is σ = 228927831837264. Its totient is φ = 38682122121280.

The previous prime is 101101001001083. The next prime is 101101001001103. The reversal of 101101001001100 is 1100100101101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101101001001103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21978476179 + ... + 21978480778.

It is an arithmetic number, because the mean of its divisors is an integer number (6359106439924).

Almost surely, 2^{101101001001100} is an apocalyptic number.

101101001001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101001001100 is an abundant number, since it is smaller than the sum of its proper divisors (127826830836164).

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

101101001001100 is a wasteful number, since it uses less digits than its factorization.

101101001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43956956994 (or 43956956987 counting only the distinct ones).

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

Adding to 101101001001100 its reverse (1100100101101), we get a palindrome (102201101102201).

The spelling of 101101001001100 in words is "one hundred one trillion, one hundred one billion, one million, one thousand, one hundred".