1020010101001 has 4 divisors (see below), whose sum is σ = 1020027156372. Its totient is φ = 1019993045632.

The previous prime is 1020010100981. The next prime is 1020010101079. The reversal of 1020010101001 is 1001010100201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 421051743225 + 598958357776 = 648885^2 + 773924^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020010101001 - 2¹¹ = 1020010098953 is a prime.

It is a super-2 number, since 2×1020010101001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020010101101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8437660 + ... + 8557693.

It is an arithmetic number, because the mean of its divisors is an integer number (255006789093).

Almost surely, 2^{1020010101001} is an apocalyptic number.

It is an amenable number.

1020010101001 is a deficient number, since it is larger than the sum of its proper divisors (17055371).

1020010101001 is an equidigital number, since it uses as much as digits as its factorization.

1020010101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17055370.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1020010101001 its reverse (1001010100201), we get a palindrome (2021020201202).

The spelling of 1020010101001 in words is "one trillion, twenty billion, ten million, one hundred one thousand, one".