1020020220101 has 16 divisors (see below), whose sum is σ = 1028990790000. Its totient is φ = 1011094242816.

The previous prime is 1020020220091. The next prime is 1020020220119. The reversal of 1020020220101 is 1010220200201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20470169476 + 999550050625 = 143074^2 + 999775^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020020220101 - 2¹⁰ = 1020020219077 is a prime.

It is a super-3 number, since 3×1020020220101³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020020240101) 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 15 ways as a sum of consecutive naturals, for example, 105271265 + ... + 105280953.

It is an arithmetic number, because the mean of its divisors is an integer number (64311924375).

Almost surely, 2^{1020020220101} is an apocalyptic number.

It is an amenable number.

1020020220101 is a deficient number, since it is larger than the sum of its proper divisors (8970569899).

1020020220101 is a wasteful number, since it uses less digits than its factorization.

1020020220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020020220101 its reverse (1010220200201), we get a palindrome (2030240420302).

The spelling of 1020020220101 in words is "one trillion, twenty billion, twenty million, two hundred twenty thousand, one hundred one".