1122211202101 has 64 divisors (see below), whose sum is σ = 1380375302400. Its totient is φ = 899071488000.

The previous prime is 1122211202081. The next prime is 1122211202107. The reversal of 1122211202101 is 1012021122211.

It is not a de Polignac number, because 1122211202101 - 2¹⁹ = 1122210677813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122211202107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234328615 + ... + 234333403.

It is an arithmetic number, because the mean of its divisors is an integer number (21568364100).

Almost surely, 2^{1122211202101} is an apocalyptic number.

1122211202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122211202101 is a deficient number, since it is larger than the sum of its proper divisors (258164100299).

1122211202101 is a wasteful number, since it uses less digits than its factorization.

1122211202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1122211202101 its reverse (1012021122211), we get a palindrome (2134232324312).

The spelling of 1122211202101 in words is "one trillion, one hundred twenty-two billion, two hundred eleven million, two hundred two thousand, one hundred one".