10221220010112 has 128 divisors (see below), whose sum is σ = 27193494592320. Its totient is φ = 3401632972800.

The previous prime is 10221220010083. The next prime is 10221220010159. The reversal of 10221220010112 is 21101002212201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10221220010112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221220010091 and 10221220010100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330710912 + ... + 1330718592.

Almost surely, 2^{10221220010112} is an apocalyptic number.

10221220010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221220010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13596747296160).

10221220010112 is an abundant number, since it is smaller than the sum of its proper divisors (16972274582208).

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

10221220010112 is an equidigital number, since it uses as much as digits as its factorization.

10221220010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12782 (or 12770 counting only the distinct ones).

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

Adding to 10221220010112 its reverse (21101002212201), we get a palindrome (31322222222313).

The spelling of 10221220010112 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, ten thousand, one hundred twelve".