102222010000 has 150 divisors (see below), whose sum is σ = 272037362366. Its totient is φ = 37171200000.

The previous prime is 102222009973. The next prime is 102222010057. The reversal of 102222010000 is 10222201.

It can be written as a sum of positive squares in 5 ways, for example, as 69487068816 + 32734941184 = 263604^2 + 180928^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1167760 + ... + 1252240.

Almost surely, 2^102222010000 is an apocalyptic number.

102222010000 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 102222010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136018681183).

102222010000 is an abundant number, since it is smaller than the sum of its proper divisors (169815352366).

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

102222010000 is an equidigital number, since it uses as much as digits as its factorization.

102222010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84531 (or 84499 counting only the distinct ones).

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

Adding to 102222010000 its reverse (10222201), we get a palindrome (102232232201).

102222010000 divided by its reverse (10222201) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 1022 and 22010000, that added together give a palindrome (22011022).

The spelling of 102222010000 in words is "one hundred two billion, two hundred twenty-two million, ten thousand".