102210120200 has 48 divisors (see below), whose sum is σ = 237713626500. Its totient is φ = 40871128320.

The previous prime is 102210120193. The next prime is 102210120203. The reversal of 102210120200 is 2021012201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 24019420324 + 78190699876 = 154982^2 + 279626^2 .

It is a super-3 number, since 3×102210120200³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102210120203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566666 + ... + 724934.

Almost surely, 2^102210120200 is an apocalyptic number.

102210120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210120200 is an abundant number, since it is smaller than the sum of its proper divisors (135503506300).

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

102210120200 is a wasteful number, since it uses less digits than its factorization.

102210120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161514 (or 161505 counting only the distinct ones).

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

Adding to 102210120200 its reverse (2021012201), we get a palindrome (104231132401).

The spelling of 102210120200 in words is "one hundred two billion, two hundred ten million, one hundred twenty thousand, two hundred".