10100012002211 has 16 divisors (see below), whose sum is σ = 10442755921920. Its totient is φ = 9758336768640.

The previous prime is 10100012002183. The next prime is 10100012002217. The reversal of 10100012002211 is 11220021000101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100012002211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100012002192 and 10100012002201.

It is not an unprimeable number, because it can be changed into a prime (10100012002217) 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 15 ways as a sum of consecutive naturals, for example, 60960395 + ... + 61125851.

It is an arithmetic number, because the mean of its divisors is an integer number (652672245120).

Almost surely, 2^{10100012002211} is an apocalyptic number.

10100012002211 is a deficient number, since it is larger than the sum of its proper divisors (342743919709).

10100012002211 is a wasteful number, since it uses less digits than its factorization.

10100012002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168674.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100012002211 its reverse (11220021000101), we get a palindrome (21320033002312).

The spelling of 10100012002211 in words is "ten trillion, one hundred billion, twelve million, two thousand, two hundred eleven".