10121221010112 has 112 divisors (see below), whose sum is σ = 26863315864320. Its totient is φ = 3363135925248.

The previous prime is 10121221010101. The next prime is 10121221010143. The reversal of 10121221010112 is 21101012212101.

It is a happy number.

It is a super-2 number, since 2×10121221010112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121221010091 and 10121221010100.

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, 133130703 + ... + 133206705.

Almost surely, 2^{10121221010112} is an apocalyptic number.

10121221010112 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 10121221010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431657932160).

10121221010112 is an abundant number, since it is smaller than the sum of its proper divisors (16742094854208).

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

10121221010112 is a wasteful number, since it uses less digits than its factorization.

10121221010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78190 (or 78180 counting only the distinct ones).

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

Adding to 10121221010112 its reverse (21101012212101), we get a palindrome (31222233222213).

The spelling of 10121221010112 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-one million, ten thousand, one hundred twelve".