100121122211100 has 144 divisors (see below), whose sum is σ = 290157741216000. Its totient is φ = 26655290449920.

The previous prime is 100121122211063. The next prime is 100121122211111. The reversal of 100121122211100 is 1112221121001.

It is a happy number.

It is a super-2 number, since 2×100121122211100² (a number of 29 digits) contains 22 as substring.

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 100121122211100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3503296611 + ... + 3503325189.

It is an arithmetic number, because the mean of its divisors is an integer number (2014984314000).

Almost surely, 2^{100121122211100} is an apocalyptic number.

100121122211100 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 100121122211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145078870608000).

100121122211100 is an abundant number, since it is smaller than the sum of its proper divisors (190036619004900).

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

100121122211100 is a wasteful number, since it uses less digits than its factorization.

100121122211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47292 (or 47285 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100121122211100 its reverse (1112221121001), we get a palindrome (101233343332101).

The spelling of 100121122211100 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, one hundred".