10201021100200 has 96 divisors (see below), whose sum is σ = 27117695606400. Its totient is φ = 3495928400640.

The previous prime is 10201021100141. The next prime is 10201021100267. The reversal of 10201021100200 is 200112010201.

It is a super-3 number, since 3×10201021100200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1503181 + ... + 4760419.

It is an arithmetic number, because the mean of its divisors is an integer number (282475995900).

Almost surely, 2^{10201021100200} is an apocalyptic number.

10201021100200 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 10201021100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13558847803200).

10201021100200 is an abundant number, since it is smaller than the sum of its proper divisors (16916674506200).

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

10201021100200 is a wasteful number, since it uses less digits than its factorization.

10201021100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259499 (or 3259490 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10201021100200 its reverse (200112010201), we get a palindrome (10401133110401).

The spelling of 10201021100200 in words is "ten trillion, two hundred one billion, twenty-one million, one hundred thousand, two hundred".