10011201301032 has 128 divisors (see below), whose sum is σ = 26831642722560. Its totient is φ = 3104593367040.

The previous prime is 10011201300959. The next prime is 10011201301033. The reversal of 10011201301032 is 23010310211001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10011201301033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57774682 + ... + 57947702.

It is an arithmetic number, because the mean of its divisors is an integer number (209622208770).

Almost surely, 2^{10011201301032} is an apocalyptic number.

10011201301032 is a gapful number since it is divisible by the number (12) 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 10011201301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13415821361280).

10011201301032 is an abundant number, since it is smaller than the sum of its proper divisors (16820441421528).

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

10011201301032 is a wasteful number, since it uses less digits than its factorization.

10011201301032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175923 (or 175919 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10011201301032 its reverse (23010310211001), we get a palindrome (33021511512033).

The spelling of 10011201301032 in words is "ten trillion, eleven billion, two hundred one million, three hundred one thousand, thirty-two".