102200011102212 has 48 divisors (see below), whose sum is σ = 251242296527040. Its totient is φ = 32244794451072.

The previous prime is 102200011102207. The next prime is 102200011102229. The reversal of 102200011102212 is 212201110002201.

It is a super-2 number, since 2×102200011102212² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102200011102191 and 102200011102200.

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 15 ways as a sum of consecutive naturals, for example, 200392443 + ... + 200901794.

It is an arithmetic number, because the mean of its divisors is an integer number (5234214510980).

Almost surely, 2^{102200011102212} is an apocalyptic number.

102200011102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200011102212 is an abundant number, since it is smaller than the sum of its proper divisors (149042285424828).

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

102200011102212 is a wasteful number, since it uses less digits than its factorization.

102200011102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401295380 (or 401295378 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102200011102212 its reverse (212201110002201), we get a palindrome (314401121104413).

The spelling of 102200011102212 in words is "one hundred two trillion, two hundred billion, eleven million, one hundred two thousand, two hundred twelve".