11111012211201 has 128 divisors (see below), whose sum is σ = 18301432320000. Its totient is φ = 5976846102528.

The previous prime is 11111012211199. The next prime is 11111012211329. The reversal of 11111012211201 is 10211221011111.

It is not a de Polignac number, because 11111012211201 - 2¹ = 11111012211199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11111012211001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6448642326 + ... + 6448644048.

It is an arithmetic number, because the mean of its divisors is an integer number (142979940000).

Almost surely, 2^{11111012211201} is an apocalyptic number.

It is an amenable number.

11111012211201 is a deficient number, since it is larger than the sum of its proper divisors (7190420108799).

11111012211201 is a wasteful number, since it uses less digits than its factorization.

11111012211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11111012211201 its reverse (10211221011111), we get a palindrome (21322233222312).

The spelling of 11111012211201 in words is "eleven trillion, one hundred eleven billion, twelve million, two hundred eleven thousand, two hundred one".