10022011022112 has 48 divisors (see below), whose sum is σ = 26309208939552. Its totient is φ = 3340488752640.

The previous prime is 10022011022053. The next prime is 10022011022119. The reversal of 10022011022112 is 21122011022001.

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

It is a super-3 number, since 3×10022011022112³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022011022091 and 10022011022100.

It is not an unprimeable number, because it can be changed into a prime (10022011022119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056214 + ... + 4599957.

It is an arithmetic number, because the mean of its divisors is an integer number (548108519574).

Almost surely, 2^{10022011022112} is an apocalyptic number.

10022011022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022011022112 is an abundant number, since it is smaller than the sum of its proper divisors (16287197917440).

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

10022011022112 is a wasteful number, since it uses less digits than its factorization.

10022011022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674641 (or 5674633 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10022011022112 its reverse (21122011022001), we get a palindrome (31144022044113).

The spelling of 10022011022112 in words is "ten trillion, twenty-two billion, eleven million, twenty-two thousand, one hundred twelve".