10200201110100 has 72 divisors (see below), whose sum is σ = 32791757651520. Its totient is φ = 2720053628640.

The previous prime is 10200201110081. The next prime is 10200201110137. The reversal of 10200201110100 is 101110200201.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1888923432 + ... + 1888928831.

Almost surely, 2^{10200201110100} is an apocalyptic number.

10200201110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200201110100 is an abundant number, since it is smaller than the sum of its proper divisors (22591556541420).

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

10200201110100 is a wasteful number, since it uses less digits than its factorization.

10200201110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777852286 (or 3777852273 counting only the distinct ones).

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

Adding to 10200201110100 its reverse (101110200201), we get a palindrome (10301311310301).

The spelling of 10200201110100 in words is "ten trillion, two hundred billion, two hundred one million, one hundred ten thousand, one hundred".