102222100000 has 288 divisors, whose sum is σ = 263549538000. Its totient is φ = 38976000000.

The previous prime is 102222099919. The next prime is 102222100033. The reversal of 102222100000 is 1222201.

It can be written as a sum of positive squares in 24 ways, for example, as 43752925584 + 58469174416 = 209172^2 + 241804^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 102222100000.

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 47 ways as a sum of consecutive naturals, for example, 292899826 + ... + 292900174.

Almost surely, 2^102222100000 is an apocalyptic number.

102222100000 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 102222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131774769000).

102222100000 is an abundant number, since it is smaller than the sum of its proper divisors (161327438000).

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

102222100000 is an equidigital number, since it uses as much as digits as its factorization.

102222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102222100000 its reverse (1222201), we get a palindrome (102223322201).

The spelling of 102222100000 in words is "one hundred two billion, two hundred twenty-two million, one hundred thousand".