10122120111011 has 16 divisors (see below), whose sum is σ = 10461097371648. Its totient is φ = 9783927014400.

The previous prime is 10122120110981. The next prime is 10122120111017. The reversal of 10122120111011 is 11011102122101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122120111011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122120111017) 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, 114011540 + ... + 114100286.

It is an arithmetic number, because the mean of its divisors is an integer number (653818585728).

Almost surely, 2^{10122120111011} is an apocalyptic number.

10122120111011 is a deficient number, since it is larger than the sum of its proper divisors (338977260637).

10122120111011 is a wasteful number, since it uses less digits than its factorization.

10122120111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93122.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10122120111011 its reverse (11011102122101), we get a palindrome (21133222233112).

The spelling of 10122120111011 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred eleven thousand, eleven".