102211121133 has 20 divisors (see below), whose sum is σ = 166566272928. Its totient is φ = 61946133480.

The previous prime is 102211121087. The next prime is 102211121149. The reversal of 102211121133 is 331121112201.

It is not a de Polignac number, because 102211121133 - 2²⁴ = 102194343917 is a prime.

It is a super-2 number, since 2×102211121133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211121533) 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 19 ways as a sum of consecutive naturals, for example, 57356641 + ... + 57358422.

Almost surely, 2^102211121133 is an apocalyptic number.

It is an amenable number.

102211121133 is a deficient number, since it is larger than the sum of its proper divisors (64355151795).

102211121133 is a wasteful number, since it uses less digits than its factorization.

102211121133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114715086 (or 114715077 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102211121133 its reverse (331121112201), we get a palindrome (433332233334).

The spelling of 102211121133 in words is "one hundred two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred thirty-three".