102112100000212 has 12 divisors (see below), whose sum is σ = 179603262184500. Its totient is φ = 50796882233216.

The previous prime is 102112100000189. The next prime is 102112100000231. The reversal of 102112100000212 is 212000001211201.

It can be written as a sum of positive squares in 2 ways, for example, as 100380280848016 + 1731819152196 = 10018996^2 + 1315986^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102112100000192 and 102112100000201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64791940837 + ... + 64791942412.

It is an arithmetic number, because the mean of its divisors is an integer number (14966938515375).

Almost surely, 2^{102112100000212} is an apocalyptic number.

It is an amenable number.

102112100000212 is a deficient number, since it is larger than the sum of its proper divisors (77491162184288).

102112100000212 is a wasteful number, since it uses less digits than its factorization.

102112100000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129583883450 (or 129583883448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102112100000212 its reverse (212000001211201), we get a palindrome (314112101211413).

The spelling of 102112100000212 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, two hundred twelve", and thus it is an aban number.