1020020001 has 64 divisors (see below), whose sum is σ = 1885126656. Its totient is φ = 473299200.

The previous prime is 1020019969. The next prime is 1020020041. The reversal of 1020020001 is 1000200201.

It is a happy number.

It is not a de Polignac number, because 1020020001 - 2⁵ = 1020019969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020020041) 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 63 ways as a sum of consecutive naturals, for example, 87615 + ... + 98571.

It is an arithmetic number, because the mean of its divisors is an integer number (29455104).

Almost surely, 2^1020020001 is an apocalyptic number.

1020020001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020020001 is a deficient number, since it is larger than the sum of its proper divisors (865106655).

1020020001 is a wasteful number, since it uses less digits than its factorization.

1020020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11022.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1020020001 is about 31937.7519716088. The cubic root of 1020020001 is about 1006.6292890795.

Adding to 1020020001 its reverse (1000200201), we get a palindrome (2020220202).

The spelling of 1020020001 in words is "one billion, twenty million, twenty thousand, one".