10201210000 has 200 divisors, whose sum is σ = 25624922400. Its totient is φ = 3930240000.

The previous prime is 10201209983. The next prime is 10201210001. The reversal of 10201210000 is 1210201.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (10201210001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56989911 + ... + 56990089.

It is an arithmetic number, because the mean of its divisors is an integer number (128124612).

Almost surely, 2^10201210000 is an apocalyptic number.

10201210000 is a gapful number since it is divisible by the number (10) 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 10201210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12812461200).

10201210000 is an abundant number, since it is smaller than the sum of its proper divisors (15423712400).

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

10201210000 is a wasteful number, since it uses less digits than its factorization.

10201210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10201210000 its reverse (1210201), we get a palindrome (10202420201).

The spelling of 10201210000 in words is "ten billion, two hundred one million, two hundred ten thousand".