100101100002120 has 576 divisors, whose sum is σ = 405877847544000. Its totient is φ = 21267042241536.

The previous prime is 100101100002053. The next prime is 100101100002151. The reversal of 100101100002120 is 21200001101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14945871 + ... + 20581089.

It is an arithmetic number, because the mean of its divisors is an integer number (704649040875).

Almost surely, 2^{100101100002120} is an apocalyptic number.

100101100002120 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 100101100002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202938923772000).

100101100002120 is an abundant number, since it is smaller than the sum of its proper divisors (305776747541880).

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

100101100002120 is a wasteful number, since it uses less digits than its factorization.

100101100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635322 (or 5635308 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100101100002120 its reverse (21200001101001), we get a palindrome (121301101103121).

The spelling of 100101100002120 in words is "one hundred trillion, one hundred one billion, one hundred million, two thousand, one hundred twenty".