102100200112212 has 72 divisors (see below), whose sum is σ = 251856355677696. Its totient is φ = 32187796367616.

The previous prime is 102100200112201. The next prime is 102100200112271. The reversal of 102100200112212 is 212211002001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100200112191 and 102100200112200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17303668 + ... + 22441419.

It is an arithmetic number, because the mean of its divisors is an integer number (3498004939968).

Almost surely, 2^{102100200112212} is an apocalyptic number.

102100200112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102100200112212 is an abundant number, since it is smaller than the sum of its proper divisors (149756155565484).

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

102100200112212 is a wasteful number, since it uses less digits than its factorization.

102100200112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39745725 (or 39745704 counting only the distinct ones).

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

Adding to 102100200112212 its reverse (212211002001201), we get a palindrome (314311202113413).

The spelling of 102100200112212 in words is "one hundred two trillion, one hundred billion, two hundred million, one hundred twelve thousand, two hundred twelve".