100210020002120 has 128 divisors (see below), whose sum is σ = 264408556608000. Its totient is φ = 33463766169600.

The previous prime is 100210020002111. The next prime is 100210020002123. The reversal of 100210020002120 is 21200020012001.

It is a happy number.

100210020002120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100210020002120³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100210020002123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 409871 + ... + 14162910.

It is an arithmetic number, because the mean of its divisors is an integer number (2065691848500).

Almost surely, 2^{100210020002120} is an apocalyptic number.

100210020002120 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 100210020002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132204278304000).

100210020002120 is an abundant number, since it is smaller than the sum of its proper divisors (164198536605880).

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

100210020002120 is a wasteful number, since it uses less digits than its factorization.

100210020002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14573439 (or 14573435 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100210020002120 its reverse (21200020012001), we get a palindrome (121410040014121).

The spelling of 100210020002120 in words is "one hundred trillion, two hundred ten billion, twenty million, two thousand, one hundred twenty".