100101220102200 has 288 divisors, whose sum is σ = 320837005831680. Its totient is φ = 25791222240000.

The previous prime is 100101220102153. The next prime is 100101220102243. The reversal of 100101220102200 is 2201022101001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39239990925 + ... + 39239993475.

It is an arithmetic number, because the mean of its divisors is an integer number (1114017381360).

Almost surely, 2^{100101220102200} is an apocalyptic number.

100101220102200 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 100101220102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160418502915840).

100101220102200 is an abundant number, since it is smaller than the sum of its proper divisors (220735785729480).

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

100101220102200 is an equidigital number, since it uses as much as digits as its factorization.

100101220102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5979 (or 3419 counting only the distinct ones).

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

Adding to 100101220102200 its reverse (2201022101001), we get a palindrome (102302242203201).

The spelling of 100101220102200 in words is "one hundred trillion, one hundred one billion, two hundred twenty million, one hundred two thousand, two hundred".