100002210100 has 144 divisors (see below), whose sum is σ = 238082275648. Its totient is φ = 36235330560.

The previous prime is 100002210083. The next prime is 100002210149. The reversal of 100002210100 is 1012200001.

100002210100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24647272 + ... + 24651328.

Almost surely, 2^100002210100 is an apocalyptic number.

100002210100 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 100002210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119041137824).

100002210100 is an abundant number, since it is smaller than the sum of its proper divisors (138080065548).

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

100002210100 is a wasteful number, since it uses less digits than its factorization.

100002210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100002210100 its reverse (1012200001), we get a palindrome (101014410101).

It can be divided in two parts, 10000 and 2210100, that added together give a square (2220100 = 1490²).

The spelling of 100002210100 in words is "one hundred billion, two million, two hundred ten thousand, one hundred".