102220212120210 has 160 divisors (see below), whose sum is σ = 291156333000192. Its totient is φ = 25643863872000.

The previous prime is 102220212120181. The next prime is 102220212120263. The reversal of 102220212120210 is 12021212022201.

It is a happy number.

102220212120210 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 21 + 212 + 0 + 210 = 666.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 29347359 + ... + 32645181.

Almost surely, 2^{102220212120210} is an apocalyptic number.

102220212120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220212120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145578166500096).

102220212120210 is an abundant number, since it is smaller than the sum of its proper divisors (188936120879982).

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

102220212120210 is a wasteful number, since it uses less digits than its factorization.

102220212120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300110 (or 3300101 counting only the distinct ones).

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

Adding to 102220212120210 its reverse (12021212022201), we get a palindrome (114241424142411).

The spelling of 102220212120210 in words is "one hundred two trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty thousand, two hundred ten".