102201020000 has 120 divisors (see below), whose sum is σ = 251653270176. Its totient is φ = 40844096000.

The previous prime is 102201019937. The next prime is 102201020017. The reversal of 102201020000 is 20102201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102201020000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41258762 + ... + 41261238.

Almost surely, 2^102201020000 is an apocalyptic number.

102201020000 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 102201020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125826635088).

102201020000 is an abundant number, since it is smaller than the sum of its proper divisors (149452250176).

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

102201020000 is an equidigital number, since it uses as much as digits as its factorization.

102201020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4547 counting only the distinct ones).

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

Adding to 102201020000 its reverse (20102201), we get a palindrome (102221122201).

It can be divided in two parts, 102 and 201020000, that added together give a palindrome (201020102).

The spelling of 102201020000 in words is "one hundred two billion, two hundred one million, twenty thousand".