1031010022001 has 12 divisors (see below), whose sum is σ = 1099033805772. Its totient is φ = 963849521664.

The previous prime is 1031010021991. The next prime is 1031010022033. The reversal of 1031010022001 is 1002200101301.

1031010022001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1193011600 + 1029817010401 = 34540^2 + 1014799^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1031010022001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1031010022901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 988460 + ... + 1743293.

It is an arithmetic number, because the mean of its divisors is an integer number (91586150481).

Almost surely, 2^{1031010022001} is an apocalyptic number.

It is an amenable number.

1031010022001 is a deficient number, since it is larger than the sum of its proper divisors (68023783771).

1031010022001 is an equidigital number, since it uses as much as digits as its factorization.

1031010022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732068 (or 2731919 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1031010022001 its reverse (1002200101301), we get a palindrome (2033210123302).

The spelling of 1031010022001 in words is "one trillion, thirty-one billion, ten million, twenty-two thousand, one".