1021601000 has 96 divisors (see below), whose sum is σ = 2780973000. Its totient is φ = 350246400.

The previous prime is 1021600999. The next prime is 1021601029. The reversal of 1021601000 is 1061201.

1021601000 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 4 ways, for example, as 552532036 + 469068964 = 23506^2 + 21658^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38576 + ... + 59424.

Almost surely, 2^1021601000 is an apocalyptic number.

1021601000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390486500).

1021601000 is an abundant number, since it is smaller than the sum of its proper divisors (1759372000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021601000 is a wasteful number, since it uses less digits than its factorization.

1021601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20884 (or 20863 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1021601000 is about 31962.4936448957. The cubic root of 1021601000 is about 1007.1491018796.

Adding to 1021601000 its reverse (1061201), we get a palindrome (1022662201).

The spelling of 1021601000 in words is "one billion, twenty-one million, six hundred one thousand".