10100022000201 has 48 divisors (see below), whose sum is σ = 17159425920000. Its totient is φ = 5603732337024.

The previous prime is 10100022000197. The next prime is 10100022000227. The reversal of 10100022000201 is 10200022000101.

It is not a de Polignac number, because 10100022000201 - 2² = 10100022000197 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 (10100022000241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3406326 + ... + 5639423.

It is an arithmetic number, because the mean of its divisors is an integer number (357488040000).

Almost surely, 2^{10100022000201} is an apocalyptic number.

It is an amenable number.

10100022000201 is a deficient number, since it is larger than the sum of its proper divisors (7059403919799).

10100022000201 is a wasteful number, since it uses less digits than its factorization.

10100022000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046278 (or 9046275 counting only the distinct ones).

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

Adding to 10100022000201 its reverse (10200022000101), we get a palindrome (20300044000302).

The spelling of 10100022000201 in words is "ten trillion, one hundred billion, twenty-two million, two hundred one", and thus it is an aban number.