1211003312101 has 32 divisors (see below), whose sum is σ = 1370988343296. Its totient is φ = 1059726672000.

The previous prime is 1211003312083. The next prime is 1211003312117. The reversal of 1211003312101 is 1012133001121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1211003312101 - 2⁵ = 1211003312069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211003312171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55092225 + ... + 55114201.

It is an arithmetic number, because the mean of its divisors is an integer number (42843385728).

Almost surely, 2^{1211003312101} is an apocalyptic number.

1211003312101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211003312101 is a deficient number, since it is larger than the sum of its proper divisors (159985031195).

1211003312101 is a wasteful number, since it uses less digits than its factorization.

1211003312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22873.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1211003312101 its reverse (1012133001121), we get a palindrome (2223136313222).

The spelling of 1211003312101 in words is "one trillion, two hundred eleven billion, three million, three hundred twelve thousand, one hundred one".