21201148865700 has 216 divisors, whose sum is σ = 70000424894400. Its totient is φ = 5352325413120.

The previous prime is 21201148865641. The next prime is 21201148865761. The reversal of 21201148865700 is 756884110212.

21201148865700 is a `hidden beast` number, since 2 + 1 + 20 + 11 + 48 + 8 + 6 + 570 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24002089 + ... + 24869711.

Almost surely, 2^{21201148865700} is an apocalyptic number.

21201148865700 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 21201148865700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35000212447200).

21201148865700 is an abundant number, since it is smaller than the sum of its proper divisors (48799276028700).

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

21201148865700 is a wasteful number, since it uses less digits than its factorization.

21201148865700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869091 (or 869081 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 21201148865700 in words is "twenty-one trillion, two hundred one billion, one hundred forty-eight million, eight hundred sixty-five thousand, seven hundred".