100020419712 has 192 divisors, whose sum is σ = 304354552320. Its totient is φ = 31477248000.

The previous prime is 100020419711. The next prime is 100020419713. The reversal of 100020419712 is 217914020001.

It is an interprime number because it is at equal distance from previous prime (100020419711) and next prime (100020419713).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (100020419711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430037 + ... + 1498347.

It is an arithmetic number, because the mean of its divisors is an integer number (1585179960).

Almost surely, 2^100020419712 is an apocalyptic number.

100020419712 is a gapful number since it is divisible by the number (12) 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 100020419712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152177276160).

100020419712 is an abundant number, since it is smaller than the sum of its proper divisors (204334132608).

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

100020419712 is a wasteful number, since it uses less digits than its factorization.

100020419712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68403 (or 68388 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 100020419712 its reverse (217914020001), we get a palindrome (317934439713).

The spelling of 100020419712 in words is "one hundred billion, twenty million, four hundred nineteen thousand, seven hundred twelve".