100001212102120 has 128 divisors (see below), whose sum is σ = 259376398560000. Its totient is φ = 33989422934016.

The previous prime is 100001212102091. The next prime is 100001212102123. The reversal of 100001212102120 is 21201212100001.

It is a self number, because there is not a number n which added to its sum of digits gives 100001212102120.

It is not an unprimeable number, because it can be changed into a prime (100001212102123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26339631 + ... + 29896129.

It is an arithmetic number, because the mean of its divisors is an integer number (2026378113750).

Almost surely, 2^{100001212102120} is an apocalyptic number.

100001212102120 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 100001212102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129688199280000).

100001212102120 is an abundant number, since it is smaller than the sum of its proper divisors (159375186457880).

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

100001212102120 is a wasteful number, since it uses less digits than its factorization.

100001212102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557387 (or 3557383 counting only the distinct ones).

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

Adding to 100001212102120 its reverse (21201212100001), we get a palindrome (121202424202121).

The spelling of 100001212102120 in words is "one hundred trillion, one billion, two hundred twelve million, one hundred two thousand, one hundred twenty".