21200022000101 has 24 divisors (see below), whose sum is σ = 25742144456256. Its totient is φ = 17099548300800.

The previous prime is 21200022000097. The next prime is 21200022000137. The reversal of 21200022000101 is 10100022000212.

It is a happy number.

It is not a de Polignac number, because 21200022000101 - 2² = 21200022000097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200022000181) 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, 10692626 + ... + 12519276.

It is an arithmetic number, because the mean of its divisors is an integer number (1072589352344).

Almost surely, 2^{21200022000101} is an apocalyptic number.

It is an amenable number.

21200022000101 is a deficient number, since it is larger than the sum of its proper divisors (4542122456155).

21200022000101 is a wasteful number, since it uses less digits than its factorization.

21200022000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832429 (or 1832412 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21200022000101 its reverse (10100022000212), we get a palindrome (31300044000313).

The spelling of 21200022000101 in words is "twenty-one trillion, two hundred billion, twenty-two million, one hundred one", and thus it is an aban number.