100220120002120 has 128 divisors (see below), whose sum is σ = 229536056296800. Its totient is φ = 39371688345600.

The previous prime is 100220120002099. The next prime is 100220120002151. The reversal of 100220120002120 is 21200021022001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1379022765124 + 98841097236996 = 1174318^2 + 9941886^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100220120002120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13439733432 + ... + 13439740888.

Almost surely, 2^{100220120002120} is an apocalyptic number.

100220120002120 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 100220120002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114768028148400).

100220120002120 is an abundant number, since it is smaller than the sum of its proper divisors (129315936294680).

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

100220120002120 is a wasteful number, since it uses less digits than its factorization.

100220120002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15059 (or 15055 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100220120002120 its reverse (21200021022001), we get a palindrome (121420141024121).

The spelling of 100220120002120 in words is "one hundred trillion, two hundred twenty billion, one hundred twenty million, two thousand, one hundred twenty".