102212201000 has 128 divisors (see below), whose sum is σ = 294371400960. Its totient is φ = 32348448000.

The previous prime is 102212200999. The next prime is 102212201011. The reversal of 102212201000 is 102212201.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 470606 + ... + 652605.

It is an arithmetic number, because the mean of its divisors is an integer number (2299776570).

Almost surely, 2^102212201000 is an apocalyptic number.

102212201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212201000 is an abundant number, since it is smaller than the sum of its proper divisors (192159199960).

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

102212201000 is a wasteful number, since it uses less digits than its factorization.

102212201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123252 (or 1123238 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102212201000 its reverse (102212201), we get a palindrome (102314413201).

102212201000 divided by its reverse (102212201) gives a cube (1000 = 10³).

The spelling of 102212201000 in words is "one hundred two billion, two hundred twelve million, two hundred one thousand".