100220120022120 has 256 divisors, whose sum is σ = 352946363904000. Its totient is φ = 22755749587200.

The previous prime is 100220120022119. The next prime is 100220120022149. The reversal of 100220120022120 is 21220021022001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100220120022120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1847394 + ... + 14277713.

It is an arithmetic number, because the mean of its divisors is an integer number (1378696734000).

Almost surely, 2^{100220120022120} is an apocalyptic number.

100220120022120 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 100220120022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176473181952000).

100220120022120 is an abundant number, since it is smaller than the sum of its proper divisors (252726243881880).

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

100220120022120 is a wasteful number, since it uses less digits than its factorization.

100220120022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16125293 (or 16125275 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100220120022120 its reverse (21220021022001), we get a palindrome (121440141044121).

The spelling of 100220120022120 in words is "one hundred trillion, two hundred twenty billion, one hundred twenty million, twenty-two thousand, one hundred twenty".