1020102021 has 6 divisors (see below), whose sum is σ = 1473480710. Its totient is φ = 680068008.

The previous prime is 1020102011. The next prime is 1020102037. The reversal of 1020102021 is 1202010201.

1020102021 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., 999444996 + 20657025 = 31614^2 + 4545^2 .

It is not a de Polignac number, because 1020102021 - 2⁵ = 1020101989 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: 113344669 = 1020102021 / (1 + 0 + 2 + 0 + 1 + 0 + 2 + 0 + 2 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020101994 and 1020102012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020102011) 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, 56672326 + ... + 56672343.

Almost surely, 2^1020102021 is an apocalyptic number.

It is an amenable number.

1020102021 is a deficient number, since it is larger than the sum of its proper divisors (453378689).

1020102021 is a wasteful number, since it uses less digits than its factorization.

1020102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113344675 (or 113344672 counting only the distinct ones).

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

The square root of 1020102021 is about 31939.0360061164. The cubic root of 1020102021 is about 1006.6562694398.

Adding to 1020102021 its reverse (1202010201), we get a palindrome (2222112222).

It can be divided in two parts, 1020 and 102021, that added together give a square (103041 = 321²).

The spelling of 1020102021 in words is "one billion, twenty million, one hundred two thousand, twenty-one".