102212212001220 has 144 divisors (see below), whose sum is σ = 313886899243008. Its totient is φ = 26920806232320.

The previous prime is 102212212001173. The next prime is 102212212001267. The reversal of 102212212001220 is 22100212212201.

It is a happy number.

102212212001220 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 221 + 200 + 1 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (102212212001173) and next prime (102212212001267).

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 = 102212212001193 and 102212212001202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6109476 + ... + 15548315.

It is an arithmetic number, because the mean of its divisors is an integer number (2179770133632).

Almost surely, 2^{102212212001220} is an apocalyptic number.

102212212001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212212001220 is an abundant number, since it is smaller than the sum of its proper divisors (211674687241788).

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

102212212001220 is a wasteful number, since it uses less digits than its factorization.

102212212001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21658130 (or 21658125 counting only the distinct ones).

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

Adding to 102212212001220 its reverse (22100212212201), we get a palindrome (124312424213421).

The spelling of 102212212001220 in words is "one hundred two trillion, two hundred twelve billion, two hundred twelve million, one thousand, two hundred twenty".