102200221210212 has 60 divisors (see below), whose sum is σ = 267207114622140. Its totient is φ = 34062207632064.

The previous prime is 102200221210111. The next prime is 102200221210247. The reversal of 102200221210212 is 212012122002201.

It is a happy number.

102200221210212 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 0 + 221 + 210 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41207463844416 + 60992757365796 = 6419304^2 + 7809786^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18545787 + ... + 23416802.

It is an arithmetic number, because the mean of its divisors is an integer number (4453451910369).

Almost surely, 2^{102200221210212} is an apocalyptic number.

102200221210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200221210212 is an abundant number, since it is smaller than the sum of its proper divisors (165006893411928).

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

102200221210212 is a wasteful number, since it uses less digits than its factorization.

102200221210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41970122 (or 41970111 counting only the distinct ones).

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

Adding to 102200221210212 its reverse (212012122002201), we get a palindrome (314212343212413).

The spelling of 102200221210212 in words is "one hundred two trillion, two hundred billion, two hundred twenty-one million, two hundred ten thousand, two hundred twelve".