1020100201 has 12 divisors (see below), whose sum is σ = 1059581952. Its totient is φ = 982042544.

The previous prime is 1020100189. The next prime is 1020100217. The reversal of 1020100201 is 1020010201.

It is not a de Polignac number, because 1020100201 - 2⁷ = 1020100073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020100241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320520 + ... + 323686.

It is an arithmetic number, because the mean of its divisors is an integer number (88298496).

Almost surely, 2^1020100201 is an apocalyptic number.

It is an amenable number.

1020100201 is a deficient number, since it is larger than the sum of its proper divisors (39481751).

1020100201 is an equidigital number, since it uses as much as digits as its factorization.

1020100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1020100201 is about 31939.0075143233. The cubic root of 1020100201 is about 1006.6556707691.

Adding to 1020100201 its reverse (1020010201), we get a palindrome (2040110402).

Subtracting from 1020100201 its reverse (1020010201), we obtain a square (90000 = 300²).

The spelling of 1020100201 in words is "one billion, twenty million, one hundred thousand, two hundred one".