10010010012201 has 20 divisors (see below), whose sum is σ = 15121238606100. Its totient is φ = 6598358654976.

The previous prime is 10010010012157. The next prime is 10010010012203. The reversal of 10010010012201 is 10221001001001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3362275989801 + 6647734022400 = 1833651^2 + 2578320^2 .

It is not a de Polignac number, because 10010010012201 - 2¹⁸ = 10010009750057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10010010012203) 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 19 ways as a sum of consecutive naturals, for example, 694264536 + ... + 694278953.

It is an arithmetic number, because the mean of its divisors is an integer number (756061930305).

Almost surely, 2^{10010010012201} is an apocalyptic number.

It is an amenable number.

10010010012201 is a deficient number, since it is larger than the sum of its proper divisors (5111228593899).

10010010012201 is an equidigital number, since it uses as much as digits as its factorization.

10010010012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388543590 (or 1388543581 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010010012201 its reverse (10221001001001), we get a palindrome (20231011013202).

The spelling of 10010010012201 in words is "ten trillion, ten billion, ten million, twelve thousand, two hundred one".