102213102201210 has 192 divisors, whose sum is σ = 356816647998720. Its totient is φ = 19605310295040.

The previous prime is 102213102201131. The next prime is 102213102201211. The reversal of 102213102201210 is 12102201312201.

102213102201210 is a `hidden beast` number, since 1 + 0 + 221 + 3 + 10 + 220 + 1 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102213102201211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 567193195 + ... + 567373374.

It is an arithmetic number, because the mean of its divisors is an integer number (1858420041660).

Almost surely, 2^{102213102201210} is an apocalyptic number.

102213102201210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102213102201210 is an abundant number, since it is smaller than the sum of its proper divisors (254603545797510).

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

102213102201210 is a wasteful number, since it uses less digits than its factorization.

102213102201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134566613 (or 1134566610 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102213102201210 its reverse (12102201312201), we get a palindrome (114315303513411).

It can be divided in two parts, 102 and 213102201210, that added together give a palindrome (213102201312).

The spelling of 102213102201210 in words is "one hundred two trillion, two hundred thirteen billion, one hundred two million, two hundred one thousand, two hundred ten".