10111122101012 has 24 divisors (see below), whose sum is σ = 17962245418152. Its totient is φ = 4979570688000.

The previous prime is 10111122100991. The next prime is 10111122101029. The reversal of 10111122101012 is 21010122111101.

It can be written as a sum of positive squares in 4 ways, for example, as 2805745601296 + 7305376499716 = 1675036^2 + 2702846^2 .

It is a super-2 number, since 2×10111122101012² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64760189 + ... + 64916132.

It is an arithmetic number, because the mean of its divisors is an integer number (748426892423).

Almost surely, 2^{10111122101012} is an apocalyptic number.

It is an amenable number.

10111122101012 is a deficient number, since it is larger than the sum of its proper divisors (7851123317140).

10111122101012 is a wasteful number, since it uses less digits than its factorization.

10111122101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129676619 (or 129676617 counting only the distinct ones).

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

Adding to 10111122101012 its reverse (21010122111101), we get a palindrome (31121244212113).

The spelling of 10111122101012 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, one hundred one thousand, twelve".