10200201100100 has 144 divisors (see below), whose sum is σ = 24391152366336. Its totient is φ = 3671623680000.

The previous prime is 10200201100099. The next prime is 10200201100121. The reversal of 10200201100100 is 100110200201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744696452 + ... + 744710148.

It is an arithmetic number, because the mean of its divisors is an integer number (169383002544).

Almost surely, 2^{10200201100100} is an apocalyptic number.

10200201100100 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 10200201100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12195576183168).

10200201100100 is an abundant number, since it is smaller than the sum of its proper divisors (14190951266236).

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

10200201100100 is a wasteful number, since it uses less digits than its factorization.

10200201100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20526 (or 20519 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10200201100100 its reverse (100110200201), we get a palindrome (10300311300301).

It can be divided in two parts, 10200201 and 100100, that added together give a palindrome (10300301).

The spelling of 10200201100100 in words is "ten trillion, two hundred billion, two hundred one million, one hundred thousand, one hundred".