1020400221 has 32 divisors (see below), whose sum is σ = 1474744320. Its totient is φ = 625934144.

The previous prime is 1020400211. The next prime is 1020400237. The reversal of 1020400221 is 1220040201.

1020400221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020400221 - 2⁵ = 1020400189 is a prime.

It is a super-2 number, since 2×1020400221² = 2082433222033697682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020400197 and 1020400206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020400211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188671 + ... + 194003.

It is an arithmetic number, because the mean of its divisors is an integer number (46085760).

Almost surely, 2^1020400221 is an apocalyptic number.

It is an amenable number.

1020400221 is a deficient number, since it is larger than the sum of its proper divisors (454344099).

1020400221 is a wasteful number, since it uses less digits than its factorization.

1020400221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1020400221 is about 31943.7039336393. The cubic root of 1020400221 is about 1006.7543497127.

Adding to 1020400221 its reverse (1220040201), we get a palindrome (2240440422).

The spelling of 1020400221 in words is "one billion, twenty million, four hundred thousand, two hundred twenty-one".