10201102200 has 192 divisors, whose sum is σ = 35396172000. Its totient is φ = 2700241920.

The previous prime is 10201102159. The next prime is 10201102201. The reversal of 10201102200 is 220110201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201102201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732906 + ... + 746694.

Almost surely, 2^10201102200 is an apocalyptic number.

10201102200 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 10201102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17698086000).

10201102200 is an abundant number, since it is smaller than the sum of its proper divisors (25195069800).

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

10201102200 is a wasteful number, since it uses less digits than its factorization.

10201102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13951 (or 13936 counting only the distinct ones).

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

Adding to 10201102200 its reverse (220110201), we get a palindrome (10421212401).

The spelling of 10201102200 in words is "ten billion, two hundred one million, one hundred two thousand, two hundred".