10102211200202 has 12 divisors (see below), whose sum is σ = 16656125078418. Its totient is φ = 4591914181800.

The previous prime is 10102211200201. The next prime is 10102211200223. The reversal of 10102211200202 is 20200211220101.

It can be written as a sum of positive squares in only one way, i.e., 9221370762241 + 880840437961 = 3036671^2 + 938531^2 .

It is a super-2 number, since 2×10102211200202² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10102211200201) by changing a digit.

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, 20872336949 + ... + 20872337432.

Almost surely, 2^{10102211200202} is an apocalyptic number.

10102211200202 is a deficient number, since it is larger than the sum of its proper divisors (6553913878216).

10102211200202 is a wasteful number, since it uses less digits than its factorization.

10102211200202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41744674405 (or 41744674394 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10102211200202 its reverse (20200211220101), we get a palindrome (30302422420303).

The spelling of 10102211200202 in words is "ten trillion, one hundred two billion, two hundred eleven million, two hundred thousand, two hundred two".