100210200221100 has 144 divisors (see below), whose sum is σ = 292662955872000. Its totient is φ = 26471915800320.

The previous prime is 100210200221051. The next prime is 100210200221107. The reversal of 100210200221100 is 1122002012001.

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 (100210200221107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1108977721 + ... + 1109068079.

It is an arithmetic number, because the mean of its divisors is an integer number (2032381638000).

Almost surely, 2^{100210200221100} is an apocalyptic number.

100210200221100 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 100210200221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146331477936000).

100210200221100 is an abundant number, since it is smaller than the sum of its proper divisors (192452755650900).

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

100210200221100 is a wasteful number, since it uses less digits than its factorization.

100210200221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125032 (or 125025 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100210200221100 its reverse (1122002012001), we get a palindrome (101332202233101).

The spelling of 100210200221100 in words is "one hundred trillion, two hundred ten billion, two hundred million, two hundred twenty-one thousand, one hundred".