102213122310010 has 32 divisors (see below), whose sum is σ = 184032641157120. Its totient is φ = 40874356180608.

The previous prime is 102213122309999. The next prime is 102213122310029. The reversal of 102213122310010 is 10013221312201.

It is a super-2 number, since 2×102213122310010² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102213122310010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1809405846 + ... + 1809462334.

It is an arithmetic number, because the mean of its divisors is an integer number (5751020036160).

Almost surely, 2^{102213122310010} is an apocalyptic number.

102213122310010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102213122310010 is a deficient number, since it is larger than the sum of its proper divisors (81819518847110).

102213122310010 is a wasteful number, since it uses less digits than its factorization.

102213122310010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101502.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102213122310010 its reverse (10013221312201), we get a palindrome (112226343622211).

The spelling of 102213122310010 in words is "one hundred two trillion, two hundred thirteen billion, one hundred twenty-two million, three hundred ten thousand, ten".