10102010220200 has 24 divisors (see below), whose sum is σ = 23487173762430. Its totient is φ = 4040804088000.

The previous prime is 10102010220163. The next prime is 10102010220217. The reversal of 10102010220200 is 202201020101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9029339872996 + 1072670347204 = 3004886^2 + 1035698^2 .

It is a super-2 number, since 2×10102010220200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 25255025351 + ... + 25255025750.

Almost surely, 2^{10102010220200} is an apocalyptic number.

10102010220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102010220200 is an abundant number, since it is smaller than the sum of its proper divisors (13385163542230).

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

10102010220200 is a wasteful number, since it uses less digits than its factorization.

10102010220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50510051117 (or 50510051108 counting only the distinct ones).

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

Adding to 10102010220200 its reverse (202201020101), we get a palindrome (10304211240301).

The spelling of 10102010220200 in words is "ten trillion, one hundred two billion, ten million, two hundred twenty thousand, two hundred".