102120210221220 has 144 divisors (see below), whose sum is σ = 329059490760000. Its totient is φ = 25562103710976.

The previous prime is 102120210221213. The next prime is 102120210221269. The reversal of 102120210221220 is 22122012021201.

It is a happy number.

102120210221220 is a `hidden beast` number, since 1 + 0 + 2 + 12 + 0 + 210 + 221 + 220 = 666.

It is a super-2 number, since 2×102120210221220² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102120210221193 and 102120210221202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136598370 + ... + 137343929.

It is an arithmetic number, because the mean of its divisors is an integer number (2285135352500).

Almost surely, 2^{102120210221220} is an apocalyptic number.

102120210221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120210221220 is an abundant number, since it is smaller than the sum of its proper divisors (226939280538780).

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

102120210221220 is a wasteful number, since it uses less digits than its factorization.

102120210221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273942442 (or 273942437 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102120210221220 its reverse (22122012021201), we get a palindrome (124242222242421).

The spelling of 102120210221220 in words is "one hundred two trillion, one hundred twenty billion, two hundred ten million, two hundred twenty-one thousand, two hundred twenty".