100201222100 has 216 divisors, whose sum is σ = 257267283840. Its totient is φ = 33770580480.

The previous prime is 100201222091. The next prime is 100201222109. The reversal of 100201222100 is 1222102001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100201222091) and next prime (100201222109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201222109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121161887 + ... + 121162713.

It is an arithmetic number, because the mean of its divisors is an integer number (1191052240).

Almost surely, 2^100201222100 is an apocalyptic number.

100201222100 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 100201222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128633641920).

100201222100 is an abundant number, since it is smaller than the sum of its proper divisors (157066061740).

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

100201222100 is a wasteful number, since it uses less digits than its factorization.

100201222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100201222100 its reverse (1222102001), we get a palindrome (101423324101).

The spelling of 100201222100 in words is "one hundred billion, two hundred one million, two hundred twenty-two thousand, one hundred".