1010112211121 has 48 divisors (see below), whose sum is σ = 1127368368000. Its totient is φ = 899467269120.

The previous prime is 1010112211099. The next prime is 1010112211127. The reversal of 1010112211121 is 1211122110101.

1010112211121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010112211121 - 2¹⁸ = 1010111948977 is a prime.

It is a super-3 number, since 3×1010112211121³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010112211096 and 1010112211105.

It is not an unprimeable number, because it can be changed into a prime (1010112211127) 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, 673856630 + ... + 673858128.

It is an arithmetic number, because the mean of its divisors is an integer number (23486841000).

Almost surely, 2^{1010112211121} is an apocalyptic number.

It is an amenable number.

1010112211121 is a deficient number, since it is larger than the sum of its proper divisors (117256156879).

1010112211121 is a wasteful number, since it uses less digits than its factorization.

1010112211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1793 counting only the distinct ones).

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

Adding to 1010112211121 its reverse (1211122110101), we get a palindrome (2221234321222).

It can be divided in two parts, 101011 and 2211121, that added together give a palindrome (2312132).

The spelling of 1010112211121 in words is "one trillion, ten billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-one".