102133211121 has 40 divisors (see below), whose sum is σ = 153145150400. Its totient is φ = 67832341920.

The previous prime is 102133211077. The next prime is 102133211129. The reversal of 102133211121 is 121112331201.

102133211121 is a `hidden beast` number, since 10 + 213 + 321 + 1 + 121 = 666.

It is not a de Polignac number, because 102133211121 - 2¹⁹ = 102132686833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102133211094 and 102133211103.

It is not an unprimeable number, because it can be changed into a prime (102133211129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31337190 + ... + 31340448.

It is an arithmetic number, because the mean of its divisors is an integer number (3828628760).

Almost surely, 2^102133211121 is an apocalyptic number.

It is an amenable number.

102133211121 is a deficient number, since it is larger than the sum of its proper divisors (51011939279).

102133211121 is an equidigital number, since it uses as much as digits as its factorization.

102133211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4611 (or 4602 counting only the distinct ones).

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

Adding to 102133211121 its reverse (121112331201), we get a palindrome (223245542322).

The spelling of 102133211121 in words is "one hundred two billion, one hundred thirty-three million, two hundred eleven thousand, one hundred twenty-one".