10000101222111 has 256 divisors, whose sum is σ = 19297273282560. Its totient is φ = 4436804782080.

The previous prime is 10000101222101. The next prime is 10000101222161. The reversal of 10000101222111 is 11122210100001.

It is not a de Polignac number, because 10000101222111 - 2¹⁰ = 10000101221087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101222101) 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 255 ways as a sum of consecutive naturals, for example, 442099360 + ... + 442121978.

It is an arithmetic number, because the mean of its divisors is an integer number (75379973760).

Almost surely, 2^{10000101222111} is an apocalyptic number.

10000101222111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000101222111 is a deficient number, since it is larger than the sum of its proper divisors (9297172060449).

10000101222111 is a wasteful number, since it uses less digits than its factorization.

10000101222111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22886.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10000101222111 its reverse (11122210100001), we get a palindrome (21122311322112).

The spelling of 10000101222111 in words is "ten trillion, one hundred one million, two hundred twenty-two thousand, one hundred eleven".