101101221001 has 12 divisors (see below), whose sum is σ = 111136764676. Its totient is φ = 91902777120.

The previous prime is 101101220963. The next prime is 101101221019. The reversal of 101101221001 is 100122101101.

It can be written as a sum of positive squares in 2 ways, for example, as 60490910601 + 40610310400 = 245949^2 + 201520^2 .

It is not a de Polignac number, because 101101221001 - 2³¹ = 98953737353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101221031) 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, 1950715 + ... + 2001871.

Almost surely, 2^101101221001 is an apocalyptic number.

101101221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101221001 is a deficient number, since it is larger than the sum of its proper divisors (10035543675).

101101221001 is a wasteful number, since it uses less digits than its factorization.

101101221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67512 (or 67501 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101101221001 its reverse (100122101101), we get a palindrome (201223322102).

It can be divided in two parts, 10 and 1101221001, that added together give a palindrome (1101221011).

The spelling of 101101221001 in words is "one hundred one billion, one hundred one million, two hundred twenty-one thousand, one".