1020211120201 has 16 divisors (see below), whose sum is σ = 1256137344000. Its totient is φ = 806883150528.

The previous prime is 1020211120193. The next prime is 1020211120231.

1020211120201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1020211120201 - 2³ = 1020211120193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1020211120231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1967161 + ... + 2431078.

It is an arithmetic number, because the mean of its divisors is an integer number (78508584000).

Almost surely, 2^{1020211120201} is an apocalyptic number.

It is an amenable number.

1020211120201 is a deficient number, since it is larger than the sum of its proper divisors (235926223799).

1020211120201 is a wasteful number, since it uses less digits than its factorization.

1020211120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400808.

The product of its (nonzero) digits is 16, while the sum is 13.

The spelling of 1020211120201 in words is "one trillion, twenty billion, two hundred eleven million, one hundred twenty thousand, two hundred one".