1016213121 has 48 divisors (see below), whose sum is σ = 1897878528. Its totient is φ = 527893200.

The previous prime is 1016213113. The next prime is 1016213123. The reversal of 1016213121 is 1213126101.

1016213121 is a `hidden beast` number, since 10 + 1 + 621 + 31 + 2 + 1 = 666.

It is not a de Polignac number, because 1016213121 - 2³ = 1016213113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1016213094 and 1016213103.

It is not an unprimeable number, because it can be changed into a prime (1016213123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8445 + ... + 45866.

It is an arithmetic number, because the mean of its divisors is an integer number (39539136).

Almost surely, 2^1016213121 is an apocalyptic number.

1016213121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1016213121 is a deficient number, since it is larger than the sum of its proper divisors (881665407).

1016213121 is an equidigital number, since it uses as much as digits as its factorization.

1016213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54344 (or 54332 counting only the distinct ones).

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

The square root of 1016213121 is about 31878.0978259369. The cubic root of 1016213121 is about 1005.3754266800.

Adding to 1016213121 its reverse (1213126101), we get a palindrome (2229339222).

The spelling of 1016213121 in words is "one billion, sixteen million, two hundred thirteen thousand, one hundred twenty-one".