100121102200 has 864 divisors, whose sum is σ = 316367920800. Its totient is φ = 29274685440.

The previous prime is 100121102197. The next prime is 100121102209. The reversal of 100121102200 is 2201121001.

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 (100121102209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1889077374 + ... + 1889077426.

It is an arithmetic number, because the mean of its divisors is an integer number (366166575).

Almost surely, 2^100121102200 is an apocalyptic number.

100121102200 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 100121102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158183960400).

100121102200 is an abundant number, since it is smaller than the sum of its proper divisors (216246818600).

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

100121102200 is a wasteful number, since it uses less digits than its factorization.

100121102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

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

Adding to 100121102200 its reverse (2201121001), we get a palindrome (102322223201).

The spelling of 100121102200 in words is "one hundred billion, one hundred twenty-one million, one hundred two thousand, two hundred".