10102200020200 has 48 divisors (see below), whose sum is σ = 23488081493580. Its totient is φ = 4040799759360.

The previous prime is 10102200020197. The next prime is 10102200020201. The reversal of 10102200020200 is 202000220101.

It can be written as a sum of positive squares in 6 ways, for example, as 2759259854404 + 7342940165796 = 1661102^2 + 2709786^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10102200020201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10159632 + ... + 11109568.

Almost surely, 2^{10102200020200} is an apocalyptic number.

10102200020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102200020200 is an abundant number, since it is smaller than the sum of its proper divisors (13385881473380).

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

10102200020200 is a wasteful number, since it uses less digits than its factorization.

10102200020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003126 (or 1003117 counting only the distinct ones).

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

Adding to 10102200020200 its reverse (202000220101), we get a palindrome (10304200240301).

The spelling of 10102200020200 in words is "ten trillion, one hundred two billion, two hundred million, twenty thousand, two hundred".