10112102100200 has 96 divisors (see below), whose sum is σ = 23649691393560. Its totient is φ = 4020948172800.

The previous prime is 10112102100193. The next prime is 10112102100281. The reversal of 10112102100200 is 200120121101.

It can be written as a sum of positive squares in 12 ways, for example, as 340838786596 + 9771263313604 = 583814^2 + 3125902^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53211752 + ... + 53401448.

Almost surely, 2^{10112102100200} is an apocalyptic number.

10112102100200 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 10112102100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11824845696780).

10112102100200 is an abundant number, since it is smaller than the sum of its proper divisors (13537589293360).

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

10112102100200 is a wasteful number, since it uses less digits than its factorization.

10112102100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191287 (or 191278 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10112102100200 its reverse (200120121101), we get a palindrome (10312222221301).

The spelling of 10112102100200 in words is "ten trillion, one hundred twelve billion, one hundred two million, one hundred thousand, two hundred".