102033120300221 has 24 divisors (see below), whose sum is σ = 112464830983680. Its totient is φ = 92498770694880.

The previous prime is 102033120300193. The next prime is 102033120300233. The reversal of 102033120300221 is 122003021330201.

It is not a de Polignac number, because 102033120300221 - 2³⁰ = 102032046558397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102033120300193 and 102033120300202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102033120303221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798773660 + ... + 798901386.

It is an arithmetic number, because the mean of its divisors is an integer number (4686034624320).

Almost surely, 2^{102033120300221} is an apocalyptic number.

102033120300221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102033120300221 is a deficient number, since it is larger than the sum of its proper divisors (10431710683459).

102033120300221 is a wasteful number, since it uses less digits than its factorization.

102033120300221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146105 (or 146094 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102033120300221 its reverse (122003021330201), we get a palindrome (224036141630422).

The spelling of 102033120300221 in words is "one hundred two trillion, thirty-three billion, one hundred twenty million, three hundred thousand, two hundred twenty-one".