10121221220 has 48 divisors (see below), whose sum is σ = 23245403328. Its totient is φ = 3671141760.

The previous prime is 10121221171. The next prime is 10121221223. The reversal of 10121221220 is 2212212101.

It is a junction number, because it is equal to n+sod(n) for n = 10121221195 and 10121221204.

It is not an unprimeable number, because it can be changed into a prime (10121221223) 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, 29399 + ... + 145281.

It is an arithmetic number, because the mean of its divisors is an integer number (484279236).

Almost surely, 2^10121221220 is an apocalyptic number.

10121221220 is a gapful number since it is divisible by the number (10) 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 10121221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11622701664).

10121221220 is an abundant number, since it is smaller than the sum of its proper divisors (13124182108).

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

10121221220 is a wasteful number, since it uses less digits than its factorization.

10121221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116300 (or 116298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10121221220 its reverse (2212212101), we get a palindrome (12333433321).

The spelling of 10121221220 in words is "ten billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty".