1012122101111 has 48 divisors (see below), whose sum is σ = 1235245200000. Its totient is φ = 820002839040.

The previous prime is 1012122101087. The next prime is 1012122101167. The reversal of 1012122101111 is 1111012212101.

It is not a de Polignac number, because 1012122101111 - 2¹⁸ = 1012121838967 is a prime.

It is a super-2 number, since 2×1012122101111² (a number of 25 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 (1012122109111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211340705 + ... + 211345493.

It is an arithmetic number, because the mean of its divisors is an integer number (25734275000).

Almost surely, 2^{1012122101111} is an apocalyptic number.

1012122101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012122101111 is a deficient number, since it is larger than the sum of its proper divisors (223123098889).

1012122101111 is a wasteful number, since it uses less digits than its factorization.

1012122101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8352 (or 8335 counting only the distinct ones).

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

Adding to 1012122101111 its reverse (1111012212101), we get a palindrome (2123134313212).

The spelling of 1012122101111 in words is "one trillion, twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred eleven".