102200000201200 has 120 divisors (see below), whose sum is σ = 275096285992080. Its totient is φ = 36159213772800.

The previous prime is 102200000201183. The next prime is 102200000201339. The reversal of 102200000201200 is 2102000002201.

It is a super-4 number, since 4×102200000201200⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313719265 + ... + 314044864.

It is an arithmetic number, because the mean of its divisors is an integer number (2292469049934).

Almost surely, 2^{102200000201200} is an apocalyptic number.

102200000201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200000201200 is an abundant number, since it is smaller than the sum of its proper divisors (172896285790880).

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

102200000201200 is a wasteful number, since it uses less digits than its factorization.

102200000201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627764195 (or 627764184 counting only the distinct ones).

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

Adding to 102200000201200 its reverse (2102000002201), we get a palindrome (104302000203401).

The spelling of 102200000201200 in words is "one hundred two trillion, two hundred billion, two hundred one thousand, two hundred".