100200211000110 has 512 divisors, whose sum is σ = 310554699840000. Its totient is φ = 22766652260352.

The previous prime is 100200211000091. The next prime is 100200211000171. The reversal of 100200211000110 is 11000112002001.

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 = 100200211000092 and 100200211000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10717741716 + ... + 10717751064.

It is an arithmetic number, because the mean of its divisors is an integer number (606552148125).

Almost surely, 2^{100200211000110} is an apocalyptic number.

100200211000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200211000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155277349920000).

100200211000110 is an abundant number, since it is smaller than the sum of its proper divisors (210354488839890).

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

100200211000110 is a wasteful number, since it uses less digits than its factorization.

100200211000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12837 (or 12831 counting only the distinct ones).

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

Adding to 100200211000110 its reverse (11000112002001), we get a palindrome (111200323002111).

The spelling of 100200211000110 in words is "one hundred trillion, two hundred billion, two hundred eleven million, one hundred ten", and thus it is an aban number.