1022142120321 has 8 divisors (see below), whose sum is σ = 1557549897664. Its totient is φ = 584081211600.

The previous prime is 1022142120287. The next prime is 1022142120323. The reversal of 1022142120321 is 1230212412201.

It is a happy number.

1022142120321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1022142120321 - 2¹³ = 1022142112129 is a prime.

It is a super-2 number, since 2×1022142120321² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 48673434301 = 1022142120321 / (1 + 0 + 2 + 2 + 1 + 4 + 2 + 1 + 2 + 0 + 3 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022142120323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24336717130 + ... + 24336717171.

It is an arithmetic number, because the mean of its divisors is an integer number (194693737208).

Almost surely, 2^{1022142120321} is an apocalyptic number.

It is an amenable number.

1022142120321 is a deficient number, since it is larger than the sum of its proper divisors (535407777343).

1022142120321 is an equidigital number, since it uses as much as digits as its factorization.

1022142120321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48673434311.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1022142120321 its reverse (1230212412201), we get a palindrome (2252354532522).

The spelling of 1022142120321 in words is "one trillion, twenty-two billion, one hundred forty-two million, one hundred twenty thousand, three hundred twenty-one".