1022020101 has 6 divisors (see below), whose sum is σ = 1476251270. Its totient is φ = 681346728.

The previous prime is 1022020099. The next prime is 1022020151. The reversal of 1022020101 is 1010202201.

1022020101 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 only one way, i.e., 596629476 + 425390625 = 24426^2 + 20625^2 .

It is not a de Polignac number, because 1022020101 - 2¹ = 1022020099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 113557789 = 1022020101 / (1 + 0 + 2 + 2 + 0 + 2 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022020151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56778886 + ... + 56778903.

Almost surely, 2^1022020101 is an apocalyptic number.

It is an amenable number.

1022020101 is a deficient number, since it is larger than the sum of its proper divisors (454231169).

1022020101 is a wasteful number, since it uses less digits than its factorization.

1022020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113557795 (or 113557792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1022020101 is about 31969.0491100377. The cubic root of 1022020101 is about 1007.2868071378.

Adding to 1022020101 its reverse (1010202201), we get a palindrome (2032222302).

It can be divided in two parts, 1022020 and 101, that added together give a square (1022121 = 1011²).

The spelling of 1022020101 in words is "one billion, twenty-two million, twenty thousand, one hundred one".