10011022121112 has 64 divisors (see below), whose sum is σ = 25086572640000. Its totient is φ = 3329146065024.

The previous prime is 10011022121069. The next prime is 10011022121117. The reversal of 10011022121112 is 21112122011001.

It is a happy number.

It is a super-2 number, since 2×10011022121112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011022121091 and 10011022121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011022121117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20735938 + ... + 21213230.

It is an arithmetic number, because the mean of its divisors is an integer number (391977697500).

Almost surely, 2^{10011022121112} is an apocalyptic number.

10011022121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011022121112 is an abundant number, since it is smaller than the sum of its proper divisors (15075550518888).

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

10011022121112 is a wasteful number, since it uses less digits than its factorization.

10011022121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479360 (or 479356 counting only the distinct ones).

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

Adding to 10011022121112 its reverse (21112122011001), we get a palindrome (31123144132113).

The spelling of 10011022121112 in words is "ten trillion, eleven billion, twenty-two million, one hundred twenty-one thousand, one hundred twelve".