102100222000212 has 24 divisors (see below), whose sum is σ = 250772475088800. Its totient is φ = 32242175368416.

The previous prime is 102100222000201. The next prime is 102100222000213. The reversal of 102100222000212 is 212000222001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100222000191 and 102100222000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100222000213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223903995387 + ... + 223903995842.

It is an arithmetic number, because the mean of its divisors is an integer number (10448853128700).

Almost surely, 2^{102100222000212} is an apocalyptic number.

102100222000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102100222000212 is an abundant number, since it is smaller than the sum of its proper divisors (148672253088588).

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

102100222000212 is a wasteful number, since it uses less digits than its factorization.

102100222000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447807991255 (or 447807991253 counting only the distinct ones).

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

Adding to 102100222000212 its reverse (212000222001201), we get a palindrome (314100444001413).

The spelling of 102100222000212 in words is "one hundred two trillion, one hundred billion, two hundred twenty-two million, two hundred twelve", and thus it is an aban number.