1102100011221 has 32 divisors (see below), whose sum is σ = 1613897496576. Its totient is φ = 663422760000.

The previous prime is 1102100011219. The next prime is 1102100011241. The reversal of 1102100011221 is 1221100012011.

It is not a de Polignac number, because 1102100011221 - 2¹ = 1102100011219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1102100011197 and 1102100011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102100011241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55037191 + ... + 55057211.

It is an arithmetic number, because the mean of its divisors is an integer number (50434296768).

Almost surely, 2^{1102100011221} is an apocalyptic number.

1102100011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102100011221 is a deficient number, since it is larger than the sum of its proper divisors (511797485355).

1102100011221 is a wasteful number, since it uses less digits than its factorization.

1102100011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31233.

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

Adding to 1102100011221 its reverse (1221100012011), we get a palindrome (2323200023232).

The spelling of 1102100011221 in words is "one trillion, one hundred two billion, one hundred million, eleven thousand, two hundred twenty-one".