100102112110200 has 192 divisors, whose sum is σ = 310655575922400. Its totient is φ = 26664746803200.

The previous prime is 100102112110151. The next prime is 100102112110201. The reversal of 100102112110200 is 2011211201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102112110201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2559285844 + ... + 2559324956.

Almost surely, 2^{100102112110200} is an apocalyptic number.

100102112110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102112110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155327787961200).

100102112110200 is an abundant number, since it is smaller than the sum of its proper divisors (210553463812200).

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

100102112110200 is a wasteful number, since it uses less digits than its factorization.

100102112110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43682 (or 43673 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100102112110200 its reverse (2011211201001), we get a palindrome (102113323311201).

The spelling of 100102112110200 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, one hundred ten thousand, two hundred".