1020005121 has 16 divisors (see below), whose sum is σ = 1404735488. Its totient is φ = 657666000.

The previous prime is 1020005111. The next prime is 1020005137. The reversal of 1020005121 is 1215000201.

It is not a de Polignac number, because 1020005121 - 2⁵ = 1020005089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020005097 and 1020005106.

It is not an unprimeable number, because it can be changed into a prime (1020005111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263220 + ... + 267066.

It is an arithmetic number, because the mean of its divisors is an integer number (87795968).

Almost surely, 2^1020005121 is an apocalyptic number.

It is an amenable number.

1020005121 is a deficient number, since it is larger than the sum of its proper divisors (384730367).

1020005121 is a wasteful number, since it uses less digits than its factorization.

1020005121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6732.

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1020005121 is about 31937.5190176069. The cubic root of 1020005121 is about 1006.6243941700.

Adding to 1020005121 its reverse (1215000201), we get a palindrome (2235005322).

The spelling of 1020005121 in words is "one billion, twenty million, five thousand, one hundred twenty-one".