100212102121544 has 96 divisors (see below), whose sum is σ = 228385105096320. Its totient is φ = 41025444413184.

The previous prime is 100212102121543. The next prime is 100212102121601. The reversal of 100212102121544 is 445121201212001.

It is not an unprimeable number, because it can be changed into a prime (100212102121543) 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 23 ways as a sum of consecutive naturals, for example, 780869 + ... + 14178644.

It is an arithmetic number, because the mean of its divisors is an integer number (2379011511420).

Almost surely, 2^{100212102121544} is an apocalyptic number.

100212102121544 is a gapful number since it is divisible by the number (14) 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 100212102121544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114192552548160).

100212102121544 is an abundant number, since it is smaller than the sum of its proper divisors (128173002974776).

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

100212102121544 is a wasteful number, since it uses less digits than its factorization.

100212102121544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14960299 (or 14960288 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 100212102121544 its reverse (445121201212001), we get a palindrome (545333303333545).

The spelling of 100212102121544 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred twenty-one thousand, five hundred forty-four".