10120121220 has 96 divisors (see below), whose sum is σ = 31218638976. Its totient is φ = 2429056000.

The previous prime is 10120121189. The next prime is 10120121227. The reversal of 10120121220 is 2212102101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10120121196 and 10120121205.

It is not an unprimeable number, because it can be changed into a prime (10120121227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9249 + ... + 142568.

It is an arithmetic number, because the mean of its divisors is an integer number (325194156).

Almost surely, 2^10120121220 is an apocalyptic number.

10120121220 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 10120121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15609319488).

10120121220 is an abundant number, since it is smaller than the sum of its proper divisors (21098517756).

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

10120121220 is a wasteful number, since it uses less digits than its factorization.

10120121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151941 (or 151939 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120121220 its reverse (2212102101), we get a palindrome (12332223321).

The spelling of 10120121220 in words is "ten billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty".