102212121101000 has 32 divisors (see below), whose sum is σ = 239176363378680. Its totient is φ = 40884848440000.

The previous prime is 102212121100997. The next prime is 102212121101009. The reversal of 102212121101000 is 101121212201.

It can be written as a sum of positive squares in 4 ways, for example, as 25437759739396 + 76774361361604 = 5043586^2 + 8762098^2 .

It is not an unprimeable number, because it can be changed into a prime (102212121101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51106059551 + ... + 51106061550.

Almost surely, 2^{102212121101000} is an apocalyptic number.

102212121101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212121101000 is an abundant number, since it is smaller than the sum of its proper divisors (136964242277680).

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

102212121101000 is a wasteful number, since it uses less digits than its factorization.

102212121101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102212121122 (or 102212121108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102212121101000 its reverse (101121212201), we get a palindrome (102313242313201).

The spelling of 102212121101000 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-one million, one hundred one thousand".