100122002200 has 96 divisors (see below), whose sum is σ = 254307942000. Its totient is φ = 36356083200.

The previous prime is 100122002137. The next prime is 100122002209. The reversal of 100122002200 is 2200221001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122002209) 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, 1527706 + ... + 1591894.

Almost surely, 2^100122002200 is an apocalyptic number.

100122002200 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 100122002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127153971000).

100122002200 is an abundant number, since it is smaller than the sum of its proper divisors (154185939800).

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

100122002200 is a wasteful number, since it uses less digits than its factorization.

100122002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64925 (or 64916 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100122002200 its reverse (2200221001), we get a palindrome (102322223201).

The spelling of 100122002200 in words is "one hundred billion, one hundred twenty-two million, two thousand, two hundred".