102111220010212 has 120 divisors (see below), whose sum is σ = 210695897333880. Its totient is φ = 43293913528320.

The previous prime is 102111220010167. The next prime is 102111220010273. The reversal of 102111220010212 is 212010022111201.

It can be written as a sum of positive squares in 4 ways, for example, as 532759849216 + 101578460160996 = 729904^2 + 10078614^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2553462714 + ... + 2553502702.

It is an arithmetic number, because the mean of its divisors is an integer number (1755799144449).

Almost surely, 2^{102111220010212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111220010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105347948666940).

102111220010212 is an abundant number, since it is smaller than the sum of its proper divisors (108584677323668).

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

102111220010212 is an equidigital number, since it uses as much as digits as its factorization.

102111220010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42859 (or 42836 counting only the distinct ones).

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

Adding to 102111220010212 its reverse (212010022111201), we get a palindrome (314121242121413).

The spelling of 102111220010212 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty million, ten thousand, two hundred twelve".