10101200200101 has 24 divisors (see below), whose sum is σ = 14654840436600. Its totient is φ = 6704553534336.

The previous prime is 10101200200087. The next prime is 10101200200129. The reversal of 10101200200101 is 10100200210101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2221810849476 + 7879389350625 = 1490574^2 + 2807025^2 .

It is not a de Polignac number, because 10101200200101 - 2⁷ = 10101200199973 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 (10101200201101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411346 + ... + 4513491.

It is an arithmetic number, because the mean of its divisors is an integer number (610618351525).

Almost surely, 2^{10101200200101} is an apocalyptic number.

It is an amenable number.

10101200200101 is a deficient number, since it is larger than the sum of its proper divisors (4553640236499).

10101200200101 is a wasteful number, since it uses less digits than its factorization.

10101200200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925845 (or 4925842 counting only the distinct ones).

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

Adding to 10101200200101 its reverse (10100200210101), we get a palindrome (20201400410202).

The spelling of 10101200200101 in words is "ten trillion, one hundred one billion, two hundred million, two hundred thousand, one hundred one".