10202210000001 has 24 divisors (see below), whose sum is σ = 14776585635240. Its totient is φ = 6782985432576.

The previous prime is 10202209999999. The next prime is 10202210000009. The reversal of 10202210000001 is 10000001220201.

It can be written as a sum of positive squares in 4 ways, for example, as 2087967200400 + 8114242799601 = 1444980^2 + 2848551^2 .

It is not a de Polignac number, because 10202210000001 - 2¹ = 10202209999999 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 (10202210000009) 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 23 ways as a sum of consecutive naturals, for example, 145111465 + ... + 145181753.

It is an arithmetic number, because the mean of its divisors is an integer number (615691068135).

Almost surely, 2^{10202210000001} is an apocalyptic number.

It is an amenable number.

10202210000001 is a deficient number, since it is larger than the sum of its proper divisors (4574375635239).

10202210000001 is a wasteful number, since it uses less digits than its factorization.

10202210000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113905 (or 113902 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10202210000001 its reverse (10000001220201), we get a palindrome (20202211220202).

The spelling of 10202210000001 in words is "ten trillion, two hundred two billion, two hundred ten million, one", and thus it is an aban number.