11211120022201 has 24 divisors (see below), whose sum is σ = 12634044358824. Its totient is φ = 9935059200000.

The previous prime is 11211120022199. The next prime is 11211120022213. The reversal of 11211120022201 is 10222002111211.

It can be written as a sum of positive squares in 4 ways, for example, as 435600 + 11211119586601 = 660^2 + 3348301^2 .

It is not a de Polignac number, because 11211120022201 - 2¹ = 11211120022199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11211120022301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5017341 + ... + 6898981.

It is an arithmetic number, because the mean of its divisors is an integer number (526418514951).

Almost surely, 2^{11211120022201} is an apocalyptic number.

11211120022201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211120022201 is a deficient number, since it is larger than the sum of its proper divisors (1422924336623).

11211120022201 is a wasteful number, since it uses less digits than its factorization.

11211120022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882905 (or 1882894 counting only the distinct ones).

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

Adding to 11211120022201 its reverse (10222002111211), we get a palindrome (21433122133412).

The spelling of 11211120022201 in words is "eleven trillion, two hundred eleven billion, one hundred twenty million, twenty-two thousand, two hundred one".