1101001012221 has 64 divisors (see below), whose sum is σ = 1692991051776. Its totient is φ = 629934624000.

The previous prime is 1101001012219. The next prime is 1101001012277. The reversal of 1101001012221 is 1222101001011.

It is not a de Polignac number, because 1101001012221 - 2¹ = 1101001012219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101001012197 and 1101001012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101001011221) 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 63 ways as a sum of consecutive naturals, for example, 24278250 + ... + 24323556.

It is an arithmetic number, because the mean of its divisors is an integer number (26452985184).

Almost surely, 2^{1101001012221} is an apocalyptic number.

1101001012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101001012221 is a deficient number, since it is larger than the sum of its proper divisors (591990039555).

1101001012221 is a wasteful number, since it uses less digits than its factorization.

1101001012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45762.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1101001012221 its reverse (1222101001011), we get a palindrome (2323102013232).

The spelling of 1101001012221 in words is "one trillion, one hundred one billion, one million, twelve thousand, two hundred twenty-one".