10001011122111 has 16 divisors (see below), whose sum is σ = 13346933193216. Its totient is φ = 6661217699136.

The previous prime is 10001011122077. The next prime is 10001011122119. The reversal of 10001011122111 is 11122111010001.

It is not a de Polignac number, because 10001011122111 - 2¹⁴ = 10001011105727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001011122119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14031786 + ... + 14727288.

It is an arithmetic number, because the mean of its divisors is an integer number (834183324576).

Almost surely, 2^{10001011122111} is an apocalyptic number.

10001011122111 is a deficient number, since it is larger than the sum of its proper divisors (3345922071105).

10001011122111 is a wasteful number, since it uses less digits than its factorization.

10001011122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699902.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10001011122111 its reverse (11122111010001), we get a palindrome (21123122132112).

It can be divided in two parts, 1000101 and 1122111, that added together give a palindrome (2122212).

The spelling of 10001011122111 in words is "ten trillion, one billion, eleven million, one hundred twenty-two thousand, one hundred eleven".