10111002020201 has 6 divisors (see below), whose sum is σ = 10569724229610. Its totient is φ = 9671393236208.

The previous prime is 10111002020167. The next prime is 10111002020237. The reversal of 10111002020201 is 10202020011101.

It can be written as a sum of positive squares in only one way, i.e., 9699960754576 + 411041265625 = 3114476^2 + 641125^2 .

It is not a de Polignac number, because 10111002020201 - 2²² = 10110997825897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111002020701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9556712156 + ... + 9556713213.

It is an arithmetic number, because the mean of its divisors is an integer number (1761620704935).

Almost surely, 2^{10111002020201} is an apocalyptic number.

It is an amenable number.

10111002020201 is a deficient number, since it is larger than the sum of its proper divisors (458722209409).

10111002020201 is an equidigital number, since it uses as much as digits as its factorization.

10111002020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19113425415 (or 19113425392 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10111002020201 its reverse (10202020011101), we get a palindrome (20313022031302).

The spelling of 10111002020201 in words is "ten trillion, one hundred eleven billion, two million, twenty thousand, two hundred one".