21001735115700 has 144 divisors (see below), whose sum is σ = 61564936258560. Its totient is φ = 5526808560000.

The previous prime is 21001735115677. The next prime is 21001735115741. The reversal of 21001735115700 is 751153710012.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 47440375 + ... + 47881025.

Almost surely, 2^{21001735115700} is an apocalyptic number.

21001735115700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21001735115700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30782468129280).

21001735115700 is an abundant number, since it is smaller than the sum of its proper divisors (40563201142860).

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

21001735115700 is a wasteful number, since it uses less digits than its factorization.

21001735115700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442758 (or 442751 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 33.

Adding to 21001735115700 its reverse (751153710012), we get a palindrome (21752888825712).

The spelling of 21001735115700 in words is "twenty-one trillion, one billion, seven hundred thirty-five million, one hundred fifteen thousand, seven hundred".