10210201000101 has 48 divisors (see below), whose sum is σ = 15228496857600. Its totient is φ = 6588696669984.

The previous prime is 10210201000091. The next prime is 10210201000121. The reversal of 10210201000101 is 10100010201201.

It is a happy number.

It is not a de Polignac number, because 10210201000101 - 2³⁹ = 9660445186213 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210201000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83438080 + ... + 83560358.

It is an arithmetic number, because the mean of its divisors is an integer number (317260351200).

Almost surely, 2^{10210201000101} is an apocalyptic number.

It is an amenable number.

10210201000101 is a deficient number, since it is larger than the sum of its proper divisors (5018295857499).

10210201000101 is a wasteful number, since it uses less digits than its factorization.

10210201000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124758 (or 124755 counting only the distinct ones).

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

Adding to 10210201000101 its reverse (10100010201201), we get a palindrome (20310211201302).

The spelling of 10210201000101 in words is "ten trillion, two hundred ten billion, two hundred one million, one hundred one", and thus it is an aban number.