100201222121010 has 128 divisors (see below), whose sum is σ = 256477106592000. Its totient is φ = 24966034759680.

The previous prime is 100201222121003. The next prime is 100201222121017. The reversal of 100201222121010 is 10121222102001.

It is an interprime number because it is at equal distance from previous prime (100201222121003) and next prime (100201222121017).

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

It is not an unprimeable number, because it can be changed into a prime (100201222121017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449027916 + ... + 1449097064.

It is an arithmetic number, because the mean of its divisors is an integer number (2003727395250).

Almost surely, 2^{100201222121010} is an apocalyptic number.

100201222121010 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 100201222121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128238553296000).

100201222121010 is an abundant number, since it is smaller than the sum of its proper divisors (156275884470990).

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

100201222121010 is a wasteful number, since it uses less digits than its factorization.

100201222121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89756.

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

Adding to 100201222121010 its reverse (10121222102001), we get a palindrome (110322444223011).

The spelling of 100201222121010 in words is "one hundred trillion, two hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, ten".