21753385101 has 24 divisors (see below), whose sum is σ = 36139094784. Its totient is φ = 12351324960.

The previous prime is 21753385081. The next prime is 21753385139. The reversal of 21753385101 is 10158335712.

It is a happy number.

21753385101 is a `hidden beast` number, since 2 + 17 + 533 + 8 + 5 + 101 = 666.

It is not a de Polignac number, because 21753385101 - 2⁶ = 21753385037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21753385601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1089765 + ... + 1109546.

It is an arithmetic number, because the mean of its divisors is an integer number (1505795616).

Almost surely, 2^21753385101 is an apocalyptic number.

21753385101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21753385101 is a deficient number, since it is larger than the sum of its proper divisors (14385709683).

21753385101 is a wasteful number, since it uses less digits than its factorization.

21753385101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199481 (or 2199478 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 21753385101 in words is "twenty-one billion, seven hundred fifty-three million, three hundred eighty-five thousand, one hundred one".