102133212221310 has 32 divisors (see below), whose sum is σ = 245359787474592. Its totient is φ = 27208847909760.

The previous prime is 102133212221303. The next prime is 102133212221311. The reversal of 102133212221310 is 13122212331201.

It is a super-2 number, since 2×102133212221310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133212221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1667178189 + ... + 1667239448.

It is an arithmetic number, because the mean of its divisors is an integer number (7667493358581).

Almost surely, 2^{102133212221310} is an apocalyptic number.

102133212221310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102133212221310 is an abundant number, since it is smaller than the sum of its proper divisors (143226575253282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102133212221310 is a wasteful number, since it uses less digits than its factorization.

102133212221310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334418668.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102133212221310 its reverse (13122212331201), we get a palindrome (115255424552511).

The spelling of 102133212221310 in words is "one hundred two trillion, one hundred thirty-three billion, two hundred twelve million, two hundred twenty-one thousand, three hundred ten".