100201210221210 has 256 divisors, whose sum is σ = 284316706603008. Its totient is φ = 22116453580800.

The previous prime is 100201210221187. The next prime is 100201210221257. The reversal of 100201210221210 is 12122012102001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100201210221210.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6523083930 + ... + 6523099290.

It is an arithmetic number, because the mean of its divisors is an integer number (1110612135168).

Almost surely, 2^{100201210221210} is an apocalyptic number.

100201210221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201210221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142158353301504).

100201210221210 is an abundant number, since it is smaller than the sum of its proper divisors (184115496381798).

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

100201210221210 is a wasteful number, since it uses less digits than its factorization.

100201210221210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17509.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100201210221210 its reverse (12122012102001), we get a palindrome (112323222323211).

The spelling of 100201210221210 in words is "one hundred trillion, two hundred one billion, two hundred ten million, two hundred twenty-one thousand, two hundred ten".