10200011200 has 84 divisors (see below), whose sum is σ = 25230563712. Its totient is φ = 4058521600.

The previous prime is 10200011197. The next prime is 10200011221. The reversal of 10200011200 is 211000201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288912 + ... + 322288.

Almost surely, 2^10200011200 is an apocalyptic number.

10200011200 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 10200011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12615281856).

10200011200 is an abundant number, since it is smaller than the sum of its proper divisors (15030552512).

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

10200011200 is a wasteful number, since it uses less digits than its factorization.

10200011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33590 (or 33575 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10200011200 its reverse (211000201), we get a palindrome (10411011401).

It can be divided in two parts, 1020001 and 1200, that added together give a palindrome (1021201).

The spelling of 10200011200 in words is "ten billion, two hundred million, eleven thousand, two hundred".