10201012200 has 144 divisors (see below), whose sum is σ = 34477560780. Its totient is φ = 2702868480.

The previous prime is 10201012183. The next prime is 10201012229. The reversal of 10201012200 is 221010201.

It can be written as a sum of positive squares in 6 ways, for example, as 1201454244 + 8999557956 = 34662^2 + 94866^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 264552 + ... + 300648.

Almost surely, 2^10201012200 is an apocalyptic number.

10201012200 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 10201012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17238780390).

10201012200 is an abundant number, since it is smaller than the sum of its proper divisors (24276548580).

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

10201012200 is a wasteful number, since it uses less digits than its factorization.

10201012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36276 (or 36264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10201012200 its reverse (221010201), we get a palindrome (10422022401).

The spelling of 10201012200 in words is "ten billion, two hundred one million, twelve thousand, two hundred".