101011101001100 has 144 divisors (see below), whose sum is σ = 231248569977600. Its totient is φ = 38192061323520.

The previous prime is 101011101001009. The next prime is 101011101001103. The reversal of 101011101001100 is 1100101110101.

It is not an unprimeable number, because it can be changed into a prime (101011101001103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531296719 + ... + 1531362681.

Almost surely, 2^{101011101001100} is an apocalyptic number.

101011101001100 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 101011101001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115624284988800).

101011101001100 is an abundant number, since it is smaller than the sum of its proper divisors (130237468976500).

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

101011101001100 is a wasteful number, since it uses less digits than its factorization.

101011101001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67792 (or 67785 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101011101001100 its reverse (1100101110101), we get a palindrome (102111202111201).

The spelling of 101011101001100 in words is "one hundred one trillion, eleven billion, one hundred one million, one thousand, one hundred".