102213231202120 has 256 divisors, whose sum is σ = 252469094400000. Its totient is φ = 37097875584000.

The previous prime is 102213231202109. The next prime is 102213231202127. The reversal of 102213231202120 is 21202132312201.

It is a junction number, because it is equal to n+sod(n) for n = 102213231202091 and 102213231202100.

It is not an unprimeable number, because it can be changed into a prime (102213231202127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7136293279 + ... + 7136307601.

It is an arithmetic number, because the mean of its divisors is an integer number (986207400000).

Almost surely, 2^{102213231202120} is an apocalyptic number.

102213231202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102213231202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126234547200000).

102213231202120 is an abundant number, since it is smaller than the sum of its proper divisors (150255863197880).

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

102213231202120 is a wasteful number, since it uses less digits than its factorization.

102213231202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17484 (or 17480 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102213231202120 its reverse (21202132312201), we get a palindrome (123415363514321).

The spelling of 102213231202120 in words is "one hundred two trillion, two hundred thirteen billion, two hundred thirty-one million, two hundred two thousand, one hundred twenty".