101201111001 has 12 divisors (see below), whose sum is σ = 146187880020. Its totient is φ = 67463485440.

The previous prime is 101201110961. The next prime is 101201111003. The reversal of 101201111001 is 100111102101.

It can be written as a sum of positive squares in 2 ways, for example, as 54307641600 + 46893469401 = 233040^2 + 216549^2 .

It is not a de Polignac number, because 101201111001 - 2⁶ = 101201110937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101201111003) 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, 158856 + ... + 477113.

It is an arithmetic number, because the mean of its divisors is an integer number (12182323335).

Almost surely, 2^101201111001 is an apocalyptic number.

It is an amenable number.

101201111001 is a deficient number, since it is larger than the sum of its proper divisors (44986769019).

101201111001 is a wasteful number, since it uses less digits than its factorization.

101201111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653656 (or 653653 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101201111001 its reverse (100111102101), we get a palindrome (201312213102).

It can be divided in two parts, 101 and 201111001, that added together give a palindrome (201111102).

The spelling of 101201111001 in words is "one hundred one billion, two hundred one million, one hundred eleven thousand, one".