10001101101072 has 40 divisors (see below), whose sum is σ = 25837591080000. Its totient is φ = 3333518014080.

The previous prime is 10001101101071. The next prime is 10001101101077. The reversal of 10001101101072 is 27010110110001.

It is not an unprimeable number, because it can be changed into a prime (10001101101071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4810447 + ... + 6568302.

It is an arithmetic number, because the mean of its divisors is an integer number (645939777000).

Almost surely, 2^{10001101101072} is an apocalyptic number.

10001101101072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001101101072 is an abundant number, since it is smaller than the sum of its proper divisors (15836489978928).

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

10001101101072 is a wasteful number, since it uses less digits than its factorization.

10001101101072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11397071 (or 11397065 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 15.

Adding to 10001101101072 its reverse (27010110110001), we get a palindrome (37011211211073).

The spelling of 10001101101072 in words is "ten trillion, one billion, one hundred one million, one hundred one thousand, seventy-two".