10102210002001 has 16 divisors (see below), whose sum is σ = 11073311262720. Its totient is φ = 9159098860800.

The previous prime is 10102210001977. The next prime is 10102210002007. The reversal of 10102210002001 is 10020001220101.

It is a cyclic number.

It is not a de Polignac number, because 10102210002001 - 2⁹ = 10102210001489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102210002007) 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 15 ways as a sum of consecutive naturals, for example, 4838760 + ... + 6604393.

It is an arithmetic number, because the mean of its divisors is an integer number (692081953920).

Almost surely, 2^{10102210002001} is an apocalyptic number.

It is an amenable number.

10102210002001 is a deficient number, since it is larger than the sum of its proper divisors (971101260719).

10102210002001 is a wasteful number, since it uses less digits than its factorization.

10102210002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11444376.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102210002001 its reverse (10020001220101), we get a palindrome (20122211222102).

The spelling of 10102210002001 in words is "ten trillion, one hundred two billion, two hundred ten million, two thousand, one".