100200210010110 has 192 divisors, whose sum is σ = 314338182912000. Its totient is φ = 21633103973376.

The previous prime is 100200210010073. The next prime is 100200210010111. The reversal of 100200210010110 is 11010012002001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100200210010092 and 100200210010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200210010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8385910 + ... + 16453689.

It is an arithmetic number, because the mean of its divisors is an integer number (1637178036000).

Almost surely, 2^{100200210010110} is an apocalyptic number.

100200210010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100200210010110 is an abundant number, since it is smaller than the sum of its proper divisors (214137972901890).

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

100200210010110 is a wasteful number, since it uses less digits than its factorization.

100200210010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24839975 (or 24839972 counting only the distinct ones).

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

Adding to 100200210010110 its reverse (11010012002001), we get a palindrome (111210222012111).

The spelling of 100200210010110 in words is "one hundred trillion, two hundred billion, two hundred ten million, ten thousand, one hundred ten".