200101002101 has 64 divisors (see below), whose sum is σ = 273334763520. Its totient is φ = 141446615040.

The previous prime is 200101002071. The next prime is 200101002103. The reversal of 200101002101 is 101200101002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-200101002101 is a prime.

It is a super-3 number, since 3×200101002101³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101002103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16028780 + ... + 16041258.

It is an arithmetic number, because the mean of its divisors is an integer number (4270855680).

Almost surely, 2^200101002101 is an apocalyptic number.

It is an amenable number.

200101002101 is a deficient number, since it is larger than the sum of its proper divisors (73233761419).

200101002101 is a wasteful number, since it uses less digits than its factorization.

200101002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12786.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 200101002101 its reverse (101200101002), we get a palindrome (301301103103).

It can be divided in two parts, 200101002 and 101, that multiplied together give a palindrome (20210201202).

The spelling of 200101002101 in words is "two hundred billion, one hundred one million, two thousand, one hundred one".