10200210100101 has 16 divisors (see below), whose sum is σ = 17270196995200. Its totient is φ = 5828691485664.

The previous prime is 10200210100079. The next prime is 10200210100121. The reversal of 10200210100101 is 10100101200201.

It is a happy number.

It is not a de Polignac number, because 10200210100101 - 2²³ = 10200201711493 is a prime.

It is a super-3 number, since 3×10200210100101³ (a number of 40 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200210100121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26984682616 + ... + 26984682993.

It is an arithmetic number, because the mean of its divisors is an integer number (1079387312200).

Almost surely, 2^{10200210100101} is an apocalyptic number.

It is an amenable number.

10200210100101 is a deficient number, since it is larger than the sum of its proper divisors (7069986895099).

10200210100101 is an equidigital number, since it uses as much as digits as its factorization.

10200210100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53969365625 (or 53969365619 counting only the distinct ones).

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

Adding to 10200210100101 its reverse (10100101200201), we get a palindrome (20300311300302).

The spelling of 10200210100101 in words is "ten trillion, two hundred billion, two hundred ten million, one hundred thousand, one hundred one".