102102221201000 has 32 divisors (see below), whose sum is σ = 238919197612680. Its totient is φ = 40840888480000.

The previous prime is 102102221200949. The next prime is 102102221201047. The reversal of 102102221201000 is 102122201201.

It can be written as a sum of positive squares in 4 ways, for example, as 7006217249476 + 95096003951524 = 2646926^2 + 9751718^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51051109601 + ... + 51051111600.

Almost surely, 2^{102102221201000} is an apocalyptic number.

102102221201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102221201000 is an abundant number, since it is smaller than the sum of its proper divisors (136816976411680).

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

102102221201000 is a wasteful number, since it uses less digits than its factorization.

102102221201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102102221222 (or 102102221208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102102221201000 its reverse (102122201201), we get a palindrome (102204343402201).

The spelling of 102102221201000 in words is "one hundred two trillion, one hundred two billion, two hundred twenty-one million, two hundred one thousand".