10111021331011 has 16 divisors (see below), whose sum is σ = 10264514918400. Its totient is φ = 9957841669440.

The previous prime is 10111021330919. The next prime is 10111021331017. The reversal of 10111021331011 is 11013312011101.

It is a cyclic number.

It is not a de Polignac number, because 10111021331011 - 2⁹ = 10111021330499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111021331017) 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, 258488391 + ... + 258527503.

It is an arithmetic number, because the mean of its divisors is an integer number (641532182400).

Almost surely, 2^{10111021331011} is an apocalyptic number.

10111021331011 is a deficient number, since it is larger than the sum of its proper divisors (153493587389).

10111021331011 is a wasteful number, since it uses less digits than its factorization.

10111021331011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43026.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 10111021331011 its reverse (11013312011101), we get a palindrome (21124333342112).

The spelling of 10111021331011 in words is "ten trillion, one hundred eleven billion, twenty-one million, three hundred thirty-one thousand, eleven".