100220120012000 has 96 divisors (see below), whose sum is σ = 246350638838304. Its totient is φ = 40070171904000.

The previous prime is 100220120011997. The next prime is 100220120012011. The reversal of 100220120012000 is 210021022001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3386840 + ... + 14557160.

It is an arithmetic number, because the mean of its divisors is an integer number (2566152487899).

Almost surely, 2^{100220120012000} is an apocalyptic number.

100220120012000 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 100220120012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123175319419152).

100220120012000 is an abundant number, since it is smaller than the sum of its proper divisors (146130518826304).

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

100220120012000 is a wasteful number, since it uses less digits than its factorization.

100220120012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11172589 (or 11172571 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100220120012000 its reverse (210021022001), we get a palindrome (100430141034001).

The spelling of 100220120012000 in words is "one hundred trillion, two hundred twenty billion, one hundred twenty million, twelve thousand".