10220121121128 has 32 divisors (see below), whose sum is σ = 26374506120960. Its totient is φ = 3296813264640.

The previous prime is 10220121121127. The next prime is 10220121121151. The reversal of 10220121121128 is 82112112102201.

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

It is a junction number, because it is equal to n+sod(n) for n = 10220121121098 and 10220121121107.

It is not an unprimeable number, because it can be changed into a prime (10220121121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6868360225 + ... + 6868361712.

It is an arithmetic number, because the mean of its divisors is an integer number (824203316280).

Almost surely, 2^{10220121121128} is an apocalyptic number.

It is an amenable number.

10220121121128 is an abundant number, since it is smaller than the sum of its proper divisors (16154384999832).

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

10220121121128 is a wasteful number, since it uses less digits than its factorization.

10220121121128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13736721977 (or 13736721973 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

Adding to 10220121121128 its reverse (82112112102201), we get a palindrome (92332233223329).

The spelling of 10220121121128 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-eight".