102200022100212 has 48 divisors (see below), whose sum is σ = 240158095761024. Its totient is φ = 33825259440000.

The previous prime is 102200022100199. The next prime is 102200022100289. The reversal of 102200022100212 is 212001220002201.

It is a junction number, because it is equal to n+sod(n) for n = 102200022100191 and 102200022100200.

It is a congruent number.

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, 9292339 + ... + 17051322.

It is an arithmetic number, because the mean of its divisors is an integer number (5003293661688).

Almost surely, 2^{102200022100212} is an apocalyptic number.

102200022100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200022100212 is an abundant number, since it is smaller than the sum of its proper divisors (137958073660812).

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

102200022100212 is a wasteful number, since it uses less digits than its factorization.

102200022100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26345960 (or 26345958 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102200022100212 its reverse (212001220002201), we get a palindrome (314201242102413).

The spelling of 102200022100212 in words is "one hundred two trillion, two hundred billion, twenty-two million, one hundred thousand, two hundred twelve".