100110010321200 has 1440 divisors, whose sum is σ = 380830093314048. Its totient is φ = 22406204620800.

The previous prime is 100110010321187. The next prime is 100110010321201. The reversal of 100110010321200 is 2123010011001.

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

It is not an unprimeable number, because it can be changed into a prime (100110010321201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11458163232 + ... + 11458171968.

Almost surely, 2^{100110010321200} is an apocalyptic number.

100110010321200 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 100110010321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190415046657024).

100110010321200 is an abundant number, since it is smaller than the sum of its proper divisors (280720082992848).

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

100110010321200 is a wasteful number, since it uses less digits than its factorization.

100110010321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8923 (or 8901 counting only the distinct ones).

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

Adding to 100110010321200 its reverse (2123010011001), we get a palindrome (102233020332201).

The spelling of 100110010321200 in words is "one hundred trillion, one hundred ten billion, ten million, three hundred twenty-one thousand, two hundred".