101201101101 has 12 divisors (see below), whose sum is σ = 146183374428. Its totient is φ = 67465551744.

The previous prime is 101201101051. The next prime is 101201101139. The reversal of 101201101101 is 101101102101.

It can be written as a sum of positive squares in 2 ways, for example, as 66498999876 + 34702101225 = 257874^2 + 186285^2 .

It is not a de Polignac number, because 101201101101 - 2¹¹ = 101201099053 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201101151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247701 + ... + 513573.

It is an arithmetic number, because the mean of its divisors is an integer number (12181947869).

Almost surely, 2^101201101101 is an apocalyptic number.

It is an amenable number.

101201101101 is a deficient number, since it is larger than the sum of its proper divisors (44982273327).

101201101101 is a wasteful number, since it uses less digits than its factorization.

101201101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308172 (or 308169 counting only the distinct ones).

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

Adding to 101201101101 its reverse (101101102101), we get a palindrome (202302203202).

The spelling of 101201101101 in words is "one hundred one billion, two hundred one million, one hundred one thousand, one hundred one".