10121122111111 has 32 divisors (see below), whose sum is σ = 11873073623040. Its totient is φ = 8525632819200.

The previous prime is 10121122111103. The next prime is 10121122111153. The reversal of 10121122111111 is 11111122112101.

It is a cyclic number.

It is not a de Polignac number, because 10121122111111 - 2³ = 10121122111103 is a prime.

It is a super-2 number, since 2×10121122111111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121122111171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2003880 + ... + 4925218.

It is an arithmetic number, because the mean of its divisors is an integer number (371033550720).

Almost surely, 2^{10121122111111} is an apocalyptic number.

10121122111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121122111111 is a deficient number, since it is larger than the sum of its proper divisors (1751951511929).

10121122111111 is a wasteful number, since it uses less digits than its factorization.

10121122111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921655.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 10121122111111 its reverse (11111122112101), we get a palindrome (21232244223212).

The spelling of 10121122111111 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred eleven".