1010111002201 has 12 divisors (see below), whose sum is σ = 1215545261220. Its totient is φ = 835953931680.

The previous prime is 1010111002181. The next prime is 1010111002211. The reversal of 1010111002201 is 1022001110101.

It can be written as a sum of positive squares in 2 ways, for example, as 626157272601 + 383953729600 = 791301^2 + 619640^2 .

It is not a de Polignac number, because 1010111002201 - 2⁵ = 1010111002169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010111002211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355421170 + ... + 355424011.

It is an arithmetic number, because the mean of its divisors is an integer number (101295438435).

Almost surely, 2^{1010111002201} is an apocalyptic number.

It is an amenable number.

1010111002201 is a deficient number, since it is larger than the sum of its proper divisors (205434259019).

1010111002201 is an equidigital number, since it uses as much as digits as its factorization.

1010111002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710845224 (or 710845217 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010111002201 its reverse (1022001110101), we get a palindrome (2032112112302).

The spelling of 1010111002201 in words is "one trillion, ten billion, one hundred eleven million, two thousand, two hundred one".