10011101001072 has 80 divisors (see below), whose sum is σ = 27224560968960. Its totient is φ = 3161238713856.

The previous prime is 10011101001071. The next prime is 10011101001103. The reversal of 10011101001072 is 27010010111001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011101001071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18240453 + ... + 18781275.

It is an arithmetic number, because the mean of its divisors is an integer number (340307012112).

Almost surely, 2^{10011101001072} is an apocalyptic number.

10011101001072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011101001072 is an abundant number, since it is smaller than the sum of its proper divisors (17213459967888).

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

10011101001072 is a wasteful number, since it uses less digits than its factorization.

10011101001072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561150 (or 561144 counting only the distinct ones).

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

Adding to 10011101001072 its reverse (27010010111001), we get a palindrome (37021111112073).

The spelling of 10011101001072 in words is "ten trillion, eleven billion, one hundred one million, one thousand, seventy-two".