21759200101 has 4 divisors (see below), whose sum is σ = 21958825900. Its totient is φ = 21559574304.

The previous prime is 21759200069. The next prime is 21759200107. The reversal of 21759200101 is 10100295712.

It is a Cunningham number, because it is equal to 147510²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 15165922500 + 6593277601 = 123150^2 + 81199^2 .

It is a cyclic number.

It is not a de Polignac number, because 21759200101 - 2⁵ = 21759200069 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21759200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21759200107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99812736 + ... + 99812953.

It is an arithmetic number, because the mean of its divisors is an integer number (5489706475).

Almost surely, 2^21759200101 is an apocalyptic number.

It is an amenable number.

21759200101 is a deficient number, since it is larger than the sum of its proper divisors (199625799).

21759200101 is a wasteful number, since it uses less digits than its factorization.

21759200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199625798.

The product of its (nonzero) digits is 1260, while the sum is 28.

Adding to 21759200101 its reverse (10100295712), we get a palindrome (31859495813).

The spelling of 21759200101 in words is "twenty-one billion, seven hundred fifty-nine million, two hundred thousand, one hundred one".