102010201200200 has 96 divisors (see below), whose sum is σ = 251135231841000. Its totient is φ = 38402293002240.

The previous prime is 102010201200097. The next prime is 102010201200211. The reversal of 102010201200200 is 2002102010201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4143936063556 + 97866265136644 = 2035666^2 + 9892738^2 .

It is a super-2 number, since 2×102010201200200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85594802 + ... + 86778398.

Almost surely, 2^{102010201200200} is an apocalyptic number.

102010201200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010201200200 is an abundant number, since it is smaller than the sum of its proper divisors (149125030640800).

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

102010201200200 is a wasteful number, since it uses less digits than its factorization.

102010201200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208979 (or 1208970 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102010201200200 its reverse (2002102010201), we get a palindrome (104012303210401).

The spelling of 102010201200200 in words is "one hundred two trillion, ten billion, two hundred one million, two hundred thousand, two hundred".