102212100000 has 324 divisors, whose sum is σ = 364390087698. Its totient is φ = 27175680000.

The previous prime is 102212099987. The next prime is 102212100037. The reversal of 102212100000 is 1212201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 71141692176 + 31070407824 = 266724^2 + 176268^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 53 ways as a sum of consecutive naturals, for example, 303299832 + ... + 303300168.

Almost surely, 2^102212100000 is an apocalyptic number.

102212100000 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 102212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182195043849).

102212100000 is an abundant number, since it is smaller than the sum of its proper divisors (262177987698).

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

102212100000 is an frugal number, since it uses more digits than its factorization.

102212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102212100000 its reverse (1212201), we get a palindrome (102213312201).

The spelling of 102212100000 in words is "one hundred two billion, two hundred twelve million, one hundred thousand".