21200010010101 has 96 divisors (see below), whose sum is σ = 33871715509632. Its totient is φ = 12694866186240.

The previous prime is 21200010010097. The next prime is 21200010010159. The reversal of 21200010010101 is 10101001000212.

It is a happy number.

It is not a de Polignac number, because 21200010010101 - 2² = 21200010010097 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 (21200010010301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2510952786 + ... + 2510961228.

It is an arithmetic number, because the mean of its divisors is an integer number (352830369892).

Almost surely, 2^{21200010010101} is an apocalyptic number.

It is an amenable number.

21200010010101 is a deficient number, since it is larger than the sum of its proper divisors (12671705499531).

21200010010101 is a wasteful number, since it uses less digits than its factorization.

21200010010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10323 (or 10320 counting only the distinct ones).

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

Adding to 21200010010101 its reverse (10101001000212), we get a palindrome (31301011010313).

The spelling of 21200010010101 in words is "twenty-one trillion, two hundred billion, ten million, ten thousand, one hundred one".