10120221384 has 128 divisors (see below), whose sum is σ = 31667328000. Its totient is φ = 2623797504.

The previous prime is 10120221383. The next prime is 10120221479. The reversal of 10120221384 is 48312202101.

It is a super-2 number, since 2×10120221384² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10120221383) 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, 89587 + ... + 168125.

It is an arithmetic number, because the mean of its divisors is an integer number (247401000).

Almost surely, 2^10120221384 is an apocalyptic number.

10120221384 is a gapful number since it is divisible by the number (14) 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 10120221384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833664000).

10120221384 is an abundant number, since it is smaller than the sum of its proper divisors (21547106616).

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

10120221384 is a wasteful number, since it uses less digits than its factorization.

10120221384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78627 (or 78623 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10120221384 its reverse (48312202101), we get a palindrome (58432423485).

The spelling of 10120221384 in words is "ten billion, one hundred twenty million, two hundred twenty-one thousand, three hundred eighty-four".