10022133120 has 128 divisors (see below), whose sum is σ = 32275484640. Its totient is φ = 2644967424.

The previous prime is 10022133083. The next prime is 10022133133. The reversal of 10022133120 is 2133122001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10022133120.

It is a congruent number.

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, 159334 + ... + 213146.

Almost surely, 2^10022133120 is an apocalyptic number.

10022133120 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 10022133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16137742320).

10022133120 is an abundant number, since it is smaller than the sum of its proper divisors (22253351520).

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

10022133120 is an equidigital number, since it uses as much as digits as its factorization.

10022133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53932 (or 53920 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10022133120 its reverse (2133122001), we get a palindrome (12155255121).

The spelling of 10022133120 in words is "ten billion, twenty-two million, one hundred thirty-three thousand, one hundred twenty".