1101221112101 has 16 divisors (see below), whose sum is σ = 1253704462848. Its totient is φ = 957476242800.

The previous prime is 1101221112091. The next prime is 1101221112181. The reversal of 1101221112101 is 1012111221011.

It is not a de Polignac number, because 1101221112101 - 2⁶ = 1101221112037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101221112181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2060630 + ... + 2539416.

It is an arithmetic number, because the mean of its divisors is an integer number (78356528928).

Almost surely, 2^{1101221112101} is an apocalyptic number.

1101221112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101221112101 is a deficient number, since it is larger than the sum of its proper divisors (152483350747).

1101221112101 is a wasteful number, since it uses less digits than its factorization.

1101221112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487912.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1101221112101 its reverse (1012111221011), we get a palindrome (2113332333112).

The spelling of 1101221112101 in words is "one trillion, one hundred one billion, two hundred twenty-one million, one hundred twelve thousand, one hundred one".