10102212200011 has 8 divisors (see below), whose sum is σ = 10106598839904. Its totient is φ = 10097826086400.

The previous prime is 10102212199943. The next prime is 10102212200023. The reversal of 10102212200011 is 11000221220101.

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

It is a cyclic number.

It is not a de Polignac number, because 10102212200011 - 2¹⁹ = 10102211675723 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102212199964 and 10102212200000.

It is not an unprimeable number, because it can be changed into a prime (10102212200051) 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 7 ways as a sum of consecutive naturals, for example, 41037385 + ... + 41282821.

It is an arithmetic number, because the mean of its divisors is an integer number (1263324854988).

Almost surely, 2^{10102212200011} is an apocalyptic number.

10102212200011 is a deficient number, since it is larger than the sum of its proper divisors (4386639893).

10102212200011 is a wasteful number, since it uses less digits than its factorization.

10102212200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263141.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10102212200011 its reverse (11000221220101), we get a palindrome (21102433420112).

The spelling of 10102212200011 in words is "ten trillion, one hundred two billion, two hundred twelve million, two hundred thousand, eleven".