100212102121518 has 128 divisors (see below), whose sum is σ = 230218553410560. Its totient is φ = 32291649371520.

The previous prime is 100212102121499. The next prime is 100212102121519. The reversal of 100212102121518 is 815121201212001.

100212102121518 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 21 + 0 + 2 + 121 + 518 = 666.

It is a super-2 number, since 2×100212102121518² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100212102121491 and 100212102121500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212102121519) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414353788 + ... + 414595568.

It is an arithmetic number, because the mean of its divisors is an integer number (1798582448520).

Almost surely, 2^{100212102121518} is an apocalyptic number.

100212102121518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212102121518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115109276705280).

100212102121518 is an abundant number, since it is smaller than the sum of its proper divisors (130006451289042).

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

100212102121518 is a wasteful number, since it uses less digits than its factorization.

100212102121518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243671 (or 243665 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

Adding to 100212102121518 its reverse (815121201212001), we get a palindrome (915333303333519).

The spelling of 100212102121518 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred twenty-one thousand, five hundred eighteen".