102100101202212 has 96 divisors (see below), whose sum is σ = 244485849484800. Its totient is φ = 33152050198272.

The previous prime is 102100101202207. The next prime is 102100101202219. The reversal of 102100101202212 is 212202101001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100101202191 and 102100101202200.

It is not an unprimeable number, because it can be changed into a prime (102100101202219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34441768 + ... + 37288544.

It is an arithmetic number, because the mean of its divisors is an integer number (2546727598800).

Almost surely, 2^{102100101202212} is an apocalyptic number.

102100101202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102100101202212 is an abundant number, since it is smaller than the sum of its proper divisors (142385748282588).

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

102100101202212 is a wasteful number, since it uses less digits than its factorization.

102100101202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847305 (or 2847303 counting only the distinct ones).

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

Adding to 102100101202212 its reverse (212202101001201), we get a palindrome (314302202203413).

The spelling of 102100101202212 in words is "one hundred two trillion, one hundred billion, one hundred one million, two hundred two thousand, two hundred twelve".