102210022010 has 16 divisors (see below), whose sum is σ = 184071323016. Its totient is φ = 40863279168.

The previous prime is 102210022007. The next prime is 102210022027. The reversal of 102210022010 is 10220012201.

It is a happy number.

102210022010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33702717889 + 68507304121 = 183583^2 + 261739^2 .

It is a super-3 number, since 3×102210022010³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210021982 and 102210022000.

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 7 ways as a sum of consecutive naturals, for example, 2570489 + ... + 2609948.

Almost surely, 2^102210022010 is an apocalyptic number.

102210022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102210022010 is a deficient number, since it is larger than the sum of its proper divisors (81861301006).

102210022010 is a wasteful number, since it uses less digits than its factorization.

102210022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182417.

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

Adding to 102210022010 its reverse (10220012201), we get a palindrome (112430034211).

The spelling of 102210022010 in words is "one hundred two billion, two hundred ten million, twenty-two thousand, ten".