1211122101101 has 64 divisors (see below), whose sum is σ = 1427760000000. Its totient is φ = 1015700083200.

The previous prime is 1211122101097. The next prime is 1211122101109. The reversal of 1211122101101 is 1011012211121.

It is not a de Polignac number, because 1211122101101 - 2² = 1211122101097 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 (1211122101109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 916821521 + ... + 916822841.

It is an arithmetic number, because the mean of its divisors is an integer number (22308750000).

Almost surely, 2^{1211122101101} is an apocalyptic number.

1211122101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211122101101 is a deficient number, since it is larger than the sum of its proper divisors (216637898899).

1211122101101 is a wasteful number, since it uses less digits than its factorization.

1211122101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058.

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

Adding to 1211122101101 its reverse (1011012211121), we get a palindrome (2222134312222).

The spelling of 1211122101101 in words is "one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred one thousand, one hundred one".