102201202000 has 40 divisors (see below), whose sum is σ = 247122511272. Its totient is φ = 40880480000.

The previous prime is 102201201941. The next prime is 102201202003. The reversal of 102201202000 is 202102201.

It can be written as a sum of positive squares in 4 ways, for example, as 25081690384 + 77119511616 = 158372^2 + 277704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25548301 + ... + 25552300.

Almost surely, 2^102201202000 is an apocalyptic number.

102201202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201202000 is an abundant number, since it is smaller than the sum of its proper divisors (144921309272).

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

102201202000 is an equidigital number, since it uses as much as digits as its factorization.

102201202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51100624 (or 51100608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102201202000 its reverse (202102201), we get a palindrome (102403304201).

It can be divided in two parts, 102 and 201202000, that added together give a palindrome (201202102).

The spelling of 102201202000 in words is "one hundred two billion, two hundred one million, two hundred two thousand".