102121200100212 has 24 divisors (see below), whose sum is σ = 239860832027712. Its totient is φ = 33814966920000.

The previous prime is 102121200100177. The next prime is 102121200100253. The reversal of 102121200100212 is 212001002121201.

It is a junction number, because it is equal to n+sod(n) for n = 102121200100191 and 102121200100200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28179137289 + ... + 28179140912.

It is an arithmetic number, because the mean of its divisors is an integer number (9994201334488).

Almost surely, 2^{102121200100212} is an apocalyptic number.

102121200100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102121200100212 is an abundant number, since it is smaller than the sum of its proper divisors (137739631927500).

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

102121200100212 is a wasteful number, since it uses less digits than its factorization.

102121200100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56358278359 (or 56358278357 counting only the distinct ones).

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

Adding to 102121200100212 its reverse (212001002121201), we get a palindrome (314122202221413).

The spelling of 102121200100212 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred million, one hundred thousand, two hundred twelve".