1020000220101 has 6 divisors (see below), whose sum is σ = 1473333651270. Its totient is φ = 680000146728.

The previous prime is 1020000220037. The next prime is 1020000220171. The reversal of 1020000220101 is 1010220000201.

It can be written as a sum of positive squares in only one way, i.e., 898038627201 + 121961592900 = 947649^2 + 349230^2 .

It is not a de Polignac number, because 1020000220101 - 2⁶ = 1020000220037 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: 113333357789 = 1020000220101 / (1 + 0 + 2 + 0 + 0 + 0 + 0 + 2 + 2 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020000220171) 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, 56666678886 + ... + 56666678903.

It is an arithmetic number, because the mean of its divisors is an integer number (245555608545).

Almost surely, 2^{1020000220101} is an apocalyptic number.

It is an amenable number.

1020000220101 is a deficient number, since it is larger than the sum of its proper divisors (453333431169).

1020000220101 is a wasteful number, since it uses less digits than its factorization.

1020000220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113333357795 (or 113333357792 counting only the distinct ones).

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

Adding to 1020000220101 its reverse (1010220000201), we get a palindrome (2030220220302).

The spelling of 1020000220101 in words is "one trillion, twenty billion, two hundred twenty thousand, one hundred one".