100210012001120 has 384 divisors, whose sum is σ = 277472563200000. Its totient is φ = 33491719378944.

The previous prime is 100210012001111. The next prime is 100210012001137. The reversal of 100210012001120 is 21100210012001.

It is a super-2 number, since 2×100210012001120² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4246355081 + ... + 4246378679.

It is an arithmetic number, because the mean of its divisors is an integer number (722584800000).

Almost surely, 2^{100210012001120} is an apocalyptic number.

100210012001120 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 100210012001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138736281600000).

100210012001120 is an abundant number, since it is smaller than the sum of its proper divisors (177262551198880).

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

100210012001120 is a wasteful number, since it uses less digits than its factorization.

100210012001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24218 (or 24210 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100210012001120 its reverse (21100210012001), we get a palindrome (121310222013121).

The spelling of 100210012001120 in words is "one hundred trillion, two hundred ten billion, twelve million, one thousand, one hundred twenty".