21735537510100 has 36 divisors (see below), whose sum is σ = 47166870695644. Its totient is φ = 8694075962880.

The previous prime is 21735537510053. The next prime is 21735537510107. The reversal of 21735537510100 is 101573553712.

It can be written as a sum of positive squares in 6 ways, for example, as 6096375799056 + 15639161711044 = 2469084^2 + 3954638^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21735537510107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4663534 + ... + 8075866.

Almost surely, 2^{21735537510100} is an apocalyptic number.

21735537510100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21735537510100 is an abundant number, since it is smaller than the sum of its proper divisors (25431333185544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21735537510100 is a wasteful number, since it uses less digits than its factorization.

21735537510100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476044 (or 3476037 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 40.

The spelling of 21735537510100 in words is "twenty-one trillion, seven hundred thirty-five billion, five hundred thirty-seven million, five hundred ten thousand, one hundred".