100200111102 has 256 divisors, whose sum is σ = 293932800000. Its totient is φ = 24561957888.

The previous prime is 100200111101. The next prime is 100200111227. The reversal of 100200111102 is 201111002001.

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 not an unprimeable number, because it can be changed into a prime (100200111101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4938274 + ... + 4958522.

It is an arithmetic number, because the mean of its divisors is an integer number (1148175000).

Almost surely, 2^100200111102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400000).

100200111102 is an abundant number, since it is smaller than the sum of its proper divisors (193732688898).

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

100200111102 is a wasteful number, since it uses less digits than its factorization.

100200111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20352 (or 20346 counting only the distinct ones).

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

Adding to 100200111102 its reverse (201111002001), we get a palindrome (301311113103).

The spelling of 100200111102 in words is "one hundred billion, two hundred million, one hundred eleven thousand, one hundred two".