1020407201 has 32 divisors (see below), whose sum is σ = 1220365440. Its totient is φ = 842572800.

The previous prime is 1020407197. The next prime is 1020407209. The reversal of 1020407201 is 1027040201.

1020407201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1020407201 - 2² = 1020407197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020407201.

It is not an unprimeable number, because it can be changed into a prime (1020407209) 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, 961211 + ... + 962271.

It is an arithmetic number, because the mean of its divisors is an integer number (38136420).

Almost surely, 2^1020407201 is an apocalyptic number.

1020407201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020407201 is a deficient number, since it is larger than the sum of its proper divisors (199958239).

1020407201 is a wasteful number, since it uses less digits than its factorization.

1020407201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 1020407201 is about 31943.8131881590. The cubic root of 1020407201 is about 1006.7566452595.

Adding to 1020407201 its reverse (1027040201), we get a palindrome (2047447402).

The spelling of 1020407201 in words is "one billion, twenty million, four hundred seven thousand, two hundred one".