100210221100 has 72 divisors (see below), whose sum is σ = 237284031600. Its totient is φ = 36431001600.

The previous prime is 100210221073. The next prime is 100210221101. The reversal of 100210221100 is 1122012001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100210221101) 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 23 ways as a sum of consecutive naturals, for example, 5721156 + ... + 5738644.

It is an arithmetic number, because the mean of its divisors is an integer number (3295611550).

Almost surely, 2^100210221100 is an apocalyptic number.

100210221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210221100 is an abundant number, since it is smaller than the sum of its proper divisors (137073810500).

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

100210221100 is a wasteful number, since it uses less digits than its factorization.

100210221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22723 (or 22716 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100210221100 its reverse (1122012001), we get a palindrome (101332233101).

The spelling of 100210221100 in words is "one hundred billion, two hundred ten million, two hundred twenty-one thousand, one hundred".