100010120110200 has 384 divisors, whose sum is σ = 355249684440000. Its totient is φ = 25844261068800.

The previous prime is 100010120110177. The next prime is 100010120110247. The reversal of 100010120110200 is 2011021010001.

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 95 ways as a sum of consecutive naturals, for example, 31472772 + ... + 34504428.

Almost surely, 2^{100010120110200} is an apocalyptic number.

100010120110200 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 100010120110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177624842220000).

100010120110200 is an abundant number, since it is smaller than the sum of its proper divisors (255239564329800).

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

100010120110200 is a wasteful number, since it uses less digits than its factorization.

100010120110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031872 (or 3031857 counting only the distinct ones).

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

Adding to 100010120110200 its reverse (2011021010001), we get a palindrome (102021141120201).

The spelling of 100010120110200 in words is "one hundred trillion, ten billion, one hundred twenty million, one hundred ten thousand, two hundred".