100100002122120 has 1024 divisors, whose sum is σ = 427455872040960. Its totient is φ = 18078441062400.

The previous prime is 100100002122053. The next prime is 100100002122179. The reversal of 100100002122120 is 21221200001001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100100002122096 and 100100002122105.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 137414374 + ... + 138140906.

It is an arithmetic number, because the mean of its divisors is an integer number (417437375040).

Almost surely, 2^{100100002122120} is an apocalyptic number.

100100002122120 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 100100002122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213727936020480).

100100002122120 is an abundant number, since it is smaller than the sum of its proper divisors (327355869918840).

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

100100002122120 is a wasteful number, since it uses less digits than its factorization.

100100002122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726646 (or 726642 counting only the distinct ones).

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

Adding to 100100002122120 its reverse (21221200001001), we get a palindrome (121321202123121).

The spelling of 100100002122120 in words is "one hundred trillion, one hundred billion, two million, one hundred twenty-two thousand, one hundred twenty".