10301122120233 has 64 divisors (see below), whose sum is σ = 16438405939200. Its totient is φ = 5613943956480.

The previous prime is 10301122120217. The next prime is 10301122120279. The reversal of 10301122120233 is 33202122110301.

10301122120233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10301122120233 - 2⁴ = 10301122120217 is a prime.

It is a super-2 number, since 2×10301122120233² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10301122122233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59745373 + ... + 59917541.

It is an arithmetic number, because the mean of its divisors is an integer number (256850092800).

Almost surely, 2^{10301122120233} is an apocalyptic number.

It is an amenable number.

10301122120233 is a deficient number, since it is larger than the sum of its proper divisors (6137283818967).

10301122120233 is a wasteful number, since it uses less digits than its factorization.

10301122120233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173542.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10301122120233 its reverse (33202122110301), we get a palindrome (43503244230534).

The spelling of 10301122120233 in words is "ten trillion, three hundred one billion, one hundred twenty-two million, one hundred twenty thousand, two hundred thirty-three".