11221122013101 has 96 divisors (see below), whose sum is σ = 21763700195328. Its totient is φ = 5380380961920.

The previous prime is 11221122013069. The next prime is 11221122013103. The reversal of 11221122013101 is 10131022112211.

It is a happy number.

11221122013101 is a `hidden beast` number, since 1 + 122 + 11 + 220 + 1 + 310 + 1 = 666.

It is not a de Polignac number, because 11221122013101 - 2⁵ = 11221122013069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221122013103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162010260 + ... + 162079506.

It is an arithmetic number, because the mean of its divisors is an integer number (226705210368).

Almost surely, 2^{11221122013101} is an apocalyptic number.

11221122013101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11221122013101 is a deficient number, since it is larger than the sum of its proper divisors (10542578182227).

11221122013101 is a wasteful number, since it uses less digits than its factorization.

11221122013101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87271 (or 87268 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11221122013101 its reverse (10131022112211), we get a palindrome (21352144125312).

The spelling of 11221122013101 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-two million, thirteen thousand, one hundred one".