1010221322031 has 48 divisors (see below), whose sum is σ = 1524651681696. Its totient is φ = 644069035008.

The previous prime is 1010221321973. The next prime is 1010221322057. The reversal of 1010221322031 is 1302231220101.

It is not a de Polignac number, because 1010221322031 - 2¹⁹ = 1010220797743 is a prime.

It is a super-2 number, since 2×1010221322031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010221321995 and 1010221322013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010221322431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3739881 + ... + 4000893.

It is an arithmetic number, because the mean of its divisors is an integer number (31763576702).

Almost surely, 2^{1010221322031} is an apocalyptic number.

1010221322031 is a deficient number, since it is larger than the sum of its proper divisors (514430359665).

1010221322031 is a wasteful number, since it uses less digits than its factorization.

1010221322031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261272 (or 261269 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1010221322031 its reverse (1302231220101), we get a palindrome (2312452542132).

The spelling of 1010221322031 in words is "one trillion, ten billion, two hundred twenty-one million, three hundred twenty-two thousand, thirty-one".