100122110021200 has 120 divisors (see below), whose sum is σ = 254799989402040. Its totient is φ = 37677192806400.

The previous prime is 100122110021179. The next prime is 100122110021203. The reversal of 100122110021200 is 2120011221001.

It can be written as a sum of positive squares in 12 ways, for example, as 18633070092816 + 81489039928384 = 4316604^2 + 9027128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122110021203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13098856 + ... + 19282744.

It is an arithmetic number, because the mean of its divisors is an integer number (2123333245017).

Almost surely, 2^{100122110021200} is an apocalyptic number.

100122110021200 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 100122110021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127399994701020).

100122110021200 is an abundant number, since it is smaller than the sum of its proper divisors (154677879380840).

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

100122110021200 is a wasteful number, since it uses less digits than its factorization.

100122110021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6186305 (or 6186294 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100122110021200 its reverse (2120011221001), we get a palindrome (102242121242201).

The spelling of 100122110021200 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, twenty-one thousand, two hundred".