100200222201100 has 288 divisors, whose sum is σ = 267892853760000. Its totient is φ = 32463974672640.

The previous prime is 100200222201097. The next prime is 100200222201103. The reversal of 100200222201100 is 1102222002001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100200222201097) and next prime (100200222201103).

It is not an unprimeable number, because it can be changed into a prime (100200222201103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45679261 + ... + 47822539.

It is an arithmetic number, because the mean of its divisors is an integer number (930183520000).

Almost surely, 2^{100200222201100} is an apocalyptic number.

100200222201100 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 100200222201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133946426880000).

100200222201100 is an abundant number, since it is smaller than the sum of its proper divisors (167692631558900).

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

100200222201100 is a wasteful number, since it uses less digits than its factorization.

100200222201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143390 (or 2143369 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100200222201100 its reverse (1102222002001), we get a palindrome (101302444203101).

The spelling of 100200222201100 in words is "one hundred trillion, two hundred billion, two hundred twenty-two million, two hundred one thousand, one hundred".