102212220000000 has 1152 divisors, whose sum is σ = 373035432526848. Its totient is φ = 24640000000000.

The previous prime is 102212219999983. The next prime is 102212220000047. The reversal of 102212220000000 is 22212201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165659999692 + ... + 165660000308.

It is an arithmetic number, because the mean of its divisors is an integer number (323815479624).

Almost surely, 2^{102212220000000} is an apocalyptic number.

102212220000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186517716263424).

102212220000000 is an abundant number, since it is smaller than the sum of its proper divisors (270823212526848).

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

102212220000000 is an frugal number, since it uses more digits than its factorization.

102212220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102212220000000 its reverse (22212201), we get a palindrome (102212242212201).

The spelling of 102212220000000 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty million", and thus it is an aban number.