1221101101101 has 16 divisors (see below), whose sum is σ = 1895833517184. Its totient is φ = 684606546624.

The previous prime is 1221101101021. The next prime is 1221101101127. The reversal of 1221101101101 is 1011011011221.

It is not a de Polignac number, because 1221101101101 - 2⁹ = 1221101100589 is a prime.

It is a super-2 number, since 2×1221101101101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221101101141) 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 15 ways as a sum of consecutive naturals, for example, 548561826 + ... + 548564051.

It is an arithmetic number, because the mean of its divisors is an integer number (118489594824).

Almost surely, 2^{1221101101101} is an apocalyptic number.

It is an amenable number.

1221101101101 is a deficient number, since it is larger than the sum of its proper divisors (674732416083).

1221101101101 is a wasteful number, since it uses less digits than its factorization.

1221101101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097125940.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1221101101101 its reverse (1011011011221), we get a palindrome (2232112112322).

It can be divided in two parts, 1221 and 101101101, that multiplied together give a palindrome (123444444321).

The spelling of 1221101101101 in words is "one trillion, two hundred twenty-one billion, one hundred one million, one hundred one thousand, one hundred one".