102210001122012 has 48 divisors (see below), whose sum is σ = 272829065413632. Its totient is φ = 29174029346880.

The previous prime is 102210001121947. The next prime is 102210001122013. The reversal of 102210001122012 is 210221100012201.

It is a junction number, because it is equal to n+sod(n) for n = 102210001121982 and 102210001122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210001122013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600500164 + ... + 600670347.

It is an arithmetic number, because the mean of its divisors is an integer number (5683938862784).

Almost surely, 2^{102210001122012} is an apocalyptic number.

102210001122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102210001122012 is an abundant number, since it is smaller than the sum of its proper divisors (170619064291620).

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

102210001122012 is a wasteful number, since it uses less digits than its factorization.

102210001122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201171538 (or 1201171536 counting only the distinct ones).

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

Adding to 102210001122012 its reverse (210221100012201), we get a palindrome (312431101134213).

The spelling of 102210001122012 in words is "one hundred two trillion, two hundred ten billion, one million, one hundred twenty-two thousand, twelve".