102201210000000 has 512 divisors, whose sum is σ = 377044425388800. Its totient is φ = 27253584000000.

The previous prime is 102201209999963. The next prime is 102201210000037. The reversal of 102201210000000 is 12102201.

It is an interprime number because it is at equal distance from previous prime (102201209999963) and next prime (102201210000037).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269810739 + ... + 270189261.

Almost surely, 2^{102201210000000} is an apocalyptic number.

102201210000000 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 102201210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188522212694400).

102201210000000 is an abundant number, since it is smaller than the sum of its proper divisors (274843215388800).

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

102201210000000 is an frugal number, since it uses more digits than its factorization.

102201210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378581 (or 378533 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102201210000000 its reverse (12102201), we get a palindrome (102201222102201).

The spelling of 102201210000000 in words is "one hundred two trillion, two hundred one billion, two hundred ten million", and thus it is an aban number.