10211122102210 has 8 divisors (see below), whose sum is σ = 18380019783996. Its totient is φ = 4084448840880.

The previous prime is 10211122102193. The next prime is 10211122102211. The reversal of 10211122102210 is 1220122111201.

It can be written as a sum of positive squares in 2 ways, for example, as 10200173200441 + 10948901769 = 3193771^2 + 104637^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (10211122102211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 510556105101 + ... + 510556105120.

Almost surely, 2^{10211122102210} is an apocalyptic number.

10211122102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10211122102210 is a deficient number, since it is larger than the sum of its proper divisors (8168897681786).

10211122102210 is a wasteful number, since it uses less digits than its factorization.

10211122102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021112210228.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10211122102210 its reverse (1220122111201), we get a palindrome (11431244213411).

The spelling of 10211122102210 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, one hundred two thousand, two hundred ten".