102112200001220 has 12 divisors (see below), whose sum is σ = 214435620002604. Its totient is φ = 40844880000480.

The previous prime is 102112200001211. The next prime is 102112200001249. The reversal of 102112200001220 is 22100002211201.

It can be written as a sum of positive squares in 2 ways, for example, as 75945926372416 + 26166273628804 = 8714696^2 + 5115298^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102112200001195 and 102112200001204.

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, 2552805000011 + ... + 2552805000050.

It is an arithmetic number, because the mean of its divisors is an integer number (17869635000217).

Almost surely, 2^{102112200001220} is an apocalyptic number.

102112200001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112200001220 is an abundant number, since it is smaller than the sum of its proper divisors (112323420001384).

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

102112200001220 is a wasteful number, since it uses less digits than its factorization.

102112200001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105610000070 (or 5105610000068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102112200001220 its reverse (22100002211201), we get a palindrome (124212202212421).

The spelling of 102112200001220 in words is "one hundred two trillion, one hundred twelve billion, two hundred million, one thousand, two hundred twenty".