10221201011112 has 128 divisors (see below), whose sum is σ = 32299845446400. Its totient is φ = 2622844551168.

The previous prime is 10221201011101. The next prime is 10221201011237. The reversal of 10221201011112 is 21111010212201.

It is a happy number.

It is a super-2 number, since 2×10221201011112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221201011091 and 10221201011100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63162937 + ... + 63324552.

It is an arithmetic number, because the mean of its divisors is an integer number (252342542550).

Almost surely, 2^{10221201011112} is an apocalyptic number.

10221201011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221201011112 is an abundant number, since it is smaller than the sum of its proper divisors (22078644435288).

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

10221201011112 is a wasteful number, since it uses less digits than its factorization.

10221201011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126487555 (or 126487551 counting only the distinct ones).

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

Adding to 10221201011112 its reverse (21111010212201), we get a palindrome (31332211223313).

The spelling of 10221201011112 in words is "ten trillion, two hundred twenty-one billion, two hundred one million, eleven thousand, one hundred twelve".