10100201110200 has 192 divisors, whose sum is σ = 35063517696000. Its totient is φ = 2672179009920.

The previous prime is 10100201110133. The next prime is 10100201110217. The reversal of 10100201110200 is 201110200101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6678010 + ... + 8049609.

It is an arithmetic number, because the mean of its divisors is an integer number (182622488000).

Almost surely, 2^{10100201110200} is an apocalyptic number.

10100201110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100201110200 is an abundant number, since it is smaller than the sum of its proper divisors (24963316585800).

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

10100201110200 is a wasteful number, since it uses less digits than its factorization.

10100201110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14727771 (or 14727756 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100201110200 its reverse (201110200101), we get a palindrome (10301311310301).

The spelling of 10100201110200 in words is "ten trillion, one hundred billion, two hundred one million, one hundred ten thousand, two hundred".