101221000112 has 80 divisors (see below), whose sum is σ = 205186867200. Its totient is φ = 48316392960.

The previous prime is 101221000087. The next prime is 101221000117. The reversal of 101221000112 is 211000122101.

It is a junction number, because it is equal to n+sod(n) for n = 101221000093 and 101221000102.

It is not an unprimeable number, because it can be changed into a prime (101221000117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21142583 + ... + 21147369.

It is an arithmetic number, because the mean of its divisors is an integer number (2564835840).

Almost surely, 2^101221000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102593433600).

101221000112 is an abundant number, since it is smaller than the sum of its proper divisors (103965867088).

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

101221000112 is a wasteful number, since it uses less digits than its factorization.

101221000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101221000112 its reverse (211000122101), we get a palindrome (312221122213).

The spelling of 101221000112 in words is "one hundred one billion, two hundred twenty-one million, one hundred twelve", and thus it is an aban number.