1020100020011 has 16 divisors (see below), whose sum is σ = 1072883646240. Its totient is φ = 968541235200.

The previous prime is 1020100019989. The next prime is 1020100020067. The reversal of 1020100020011 is 1100200010201.

1020100020011 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 1020100020011 - 2³⁰ = 1019026278187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020100010011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666161 + ... + 1576061.

It is an arithmetic number, because the mean of its divisors is an integer number (67055227890).

Almost surely, 2^{1020100020011} is an apocalyptic number.

1020100020011 is a deficient number, since it is larger than the sum of its proper divisors (52783626229).

1020100020011 is an equidigital number, since it uses as much as digits as its factorization.

1020100020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910574.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1020100020011 its reverse (1100200010201), we get a palindrome (2120300030212).

The spelling of 1020100020011 in words is "one trillion, twenty billion, one hundred million, twenty thousand, eleven".