100001220122100 has 288 divisors, whose sum is σ = 322299663751296. Its totient is φ = 23736090009600.

The previous prime is 100001220122077. The next prime is 100001220122113. The reversal of 100001220122100 is 1221022100001.

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 95 ways as a sum of consecutive naturals, for example, 31488282 + ... + 34518318.

It is an arithmetic number, because the mean of its divisors is an integer number (1119096054692).

Almost surely, 2^{100001220122100} is an apocalyptic number.

100001220122100 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 100001220122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161149831875648).

100001220122100 is an abundant number, since it is smaller than the sum of its proper divisors (222298443629196).

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

100001220122100 is a wasteful number, since it uses less digits than its factorization.

100001220122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030275 (or 3030268 counting only the distinct ones).

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

Adding to 100001220122100 its reverse (1221022100001), we get a palindrome (101222242222101).

It can be divided in two parts, 1000012 and 20122100, that added together give a palindrome (21122112).

The spelling of 100001220122100 in words is "one hundred trillion, one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred".