10221012002111 has 16 divisors (see below), whose sum is σ = 10436419074816. Its totient is φ = 10007814020736.

The previous prime is 10221012002087. The next prime is 10221012002167. The reversal of 10221012002111 is 11120021012201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221012002111 is a prime.

It is a super-3 number, since 3×10221012002111³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221012002171) 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, 183265916 + ... + 183321678.

It is an arithmetic number, because the mean of its divisors is an integer number (652276192176).

Almost surely, 2^{10221012002111} is an apocalyptic number.

10221012002111 is a deficient number, since it is larger than the sum of its proper divisors (215407072705).

10221012002111 is a wasteful number, since it uses less digits than its factorization.

10221012002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75502.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10221012002111 its reverse (11120021012201), we get a palindrome (21341033014312).

The spelling of 10221012002111 in words is "ten trillion, two hundred twenty-one billion, twelve million, two thousand, one hundred eleven".