21011011022112 has 48 divisors (see below), whose sum is σ = 55154215116000. Its totient is φ = 7003630825472.

The previous prime is 21011011022107. The next prime is 21011011022117. The reversal of 21011011022112 is 21122011011012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21011011022107) and next prime (21011011022117).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 21011011022091 and 21011011022100.

It is not an unprimeable number, because it can be changed into a prime (21011011022117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20081728 + ... + 21102080.

It is an arithmetic number, because the mean of its divisors is an integer number (1149046148250).

Almost surely, 2^{21011011022112} is an apocalyptic number.

It is an amenable number.

21011011022112 is an abundant number, since it is smaller than the sum of its proper divisors (34143204093888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21011011022112 is a wasteful number, since it uses less digits than its factorization.

21011011022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234865 (or 1234857 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21011011022112 its reverse (21122011011012), we get a palindrome (42133022033124).

It can be divided in two parts, 2101101 and 1022112, that added together give a palindrome (3123213).

The spelling of 21011011022112 in words is "twenty-one trillion, eleven billion, eleven million, twenty-two thousand, one hundred twelve".