1029102021 has 12 divisors (see below), whose sum is σ = 1573920972. Its totient is φ = 645710976.

The previous prime is 1029102017. The next prime is 1029102037. The reversal of 1029102021 is 1202019201.

It can be written as a sum of positive squares in 2 ways, for example, as 542237796 + 486864225 = 23286^2 + 22065^2 .

It is not a de Polignac number, because 1029102021 - 2² = 1029102017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1029101985 and 1029102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029102821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3362926 + ... + 3363231.

It is an arithmetic number, because the mean of its divisors is an integer number (131160081).

Almost surely, 2^1029102021 is an apocalyptic number.

It is an amenable number.

1029102021 is a deficient number, since it is larger than the sum of its proper divisors (544818951).

1029102021 is a wasteful number, since it uses less digits than its factorization.

1029102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726180 (or 6726177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1029102021 is about 32079.6200258045. The cubic root of 1029102021 is about 1009.6080631338.

The spelling of 1029102021 in words is "one billion, twenty-nine million, one hundred two thousand, twenty-one".