102012101221012 has 24 divisors (see below), whose sum is σ = 178555912038504. Its totient is φ = 50996126963712.

The previous prime is 102012101221007. The next prime is 102012101221033. The reversal of 102012101221012 is 210122101210201.

It can be written as a sum of positive squares in 4 ways, for example, as 47239283671056 + 54772817549956 = 6873084^2 + 7400866^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 931247908 + ... + 931357444.

It is an arithmetic number, because the mean of its divisors is an integer number (7439829668271).

Almost surely, 2^{102012101221012} is an apocalyptic number.

It is an amenable number.

102012101221012 is a deficient number, since it is larger than the sum of its proper divisors (76543810817492).

102012101221012 is a wasteful number, since it uses less digits than its factorization.

102012101221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152715 (or 152713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102012101221012 its reverse (210122101210201), we get a palindrome (312134202431213).

It can be divided in two parts, 10201 and 2101221012, that multiplied together give a palindrome (21434555543412).

The spelling of 102012101221012 in words is "one hundred two trillion, twelve billion, one hundred one million, two hundred twenty-one thousand, twelve".