1011201332101 has 8 divisors (see below), whose sum is σ = 1030388430744. Its totient is φ = 992018227200.

The previous prime is 1011201332081. The next prime is 1011201332147. The reversal of 1011201332101 is 1012331021101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 728634667201 + 282566664900 = 853601^2 + 531570^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011201332101 - 2⁹ = 1011201331589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011201332161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484756 + ... + 1502461.

It is an arithmetic number, because the mean of its divisors is an integer number (128798553843).

Almost surely, 2^{1011201332101} is an apocalyptic number.

It is an amenable number.

1011201332101 is a deficient number, since it is larger than the sum of its proper divisors (19187098643).

1011201332101 is an equidigital number, since it uses as much as digits as its factorization.

1011201332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996871.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1011201332101 its reverse (1012331021101), we get a palindrome (2023532353202).

The spelling of 1011201332101 in words is "one trillion, eleven billion, two hundred one million, three hundred thirty-two thousand, one hundred one".