11221141012101 has 64 divisors (see below), whose sum is σ = 17230128115200. Its totient is φ = 7208964499968.

The previous prime is 11221141012057. The next prime is 11221141012111. The reversal of 11221141012101 is 10121014112211.

11221141012101 is a `hidden beast` number, since 1 + 122 + 11 + 410 + 121 + 0 + 1 = 666.

It is not a de Polignac number, because 11221141012101 - 2¹⁴ = 11221140995717 is a prime.

It is a super-2 number, since 2×11221141012101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221141012111) 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, 1353081711 + ... + 1353090003.

It is an arithmetic number, because the mean of its divisors is an integer number (269220751800).

Almost surely, 2^{11221141012101} is an apocalyptic number.

It is an amenable number.

11221141012101 is a deficient number, since it is larger than the sum of its proper divisors (6008987103099).

11221141012101 is a wasteful number, since it uses less digits than its factorization.

11221141012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11435 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11221141012101 its reverse (10121014112211), we get a palindrome (21342155124312).

The spelling of 11221141012101 in words is "eleven trillion, two hundred twenty-one billion, one hundred forty-one million, twelve thousand, one hundred one".