101120111201 has 12 divisors (see below), whose sum is σ = 106200241812. Its totient is φ = 96253884000.

The previous prime is 101120111177. The next prime is 101120111203. The reversal of 101120111201 is 102111021101.

It can be written as a sum of positive squares in 2 ways, for example, as 26953758976 + 74166352225 = 164176^2 + 272335^2 .

It is not a de Polignac number, because 101120111201 - 2¹⁸ = 101119849057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101120111203) 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 11 ways as a sum of consecutive naturals, for example, 803870 + ... + 921111.

It is an arithmetic number, because the mean of its divisors is an integer number (8850020151).

Almost surely, 2^101120111201 is an apocalyptic number.

It is an amenable number.

101120111201 is a deficient number, since it is larger than the sum of its proper divisors (5080130611).

101120111201 is an equidigital number, since it uses as much as digits as its factorization.

101120111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725104 (or 1725073 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101120111201 its reverse (102111021101), we get a palindrome (203231132302).

The spelling of 101120111201 in words is "one hundred one billion, one hundred twenty million, one hundred eleven thousand, two hundred one".