1220010100120 has 256 divisors, whose sum is σ = 3268216627200. Its totient is φ = 401077370880.

The previous prime is 1220010100103. The next prime is 1220010100189. The reversal of 1220010100120 is 210010100221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1220010100097 and 1220010100106.

It is a congruent number.

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, 1058117464 + ... + 1058118616.

It is an arithmetic number, because the mean of its divisors is an integer number (12766471200).

Almost surely, 2^{1220010100120} is an apocalyptic number.

1220010100120 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 1220010100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634108313600).

1220010100120 is an abundant number, since it is smaller than the sum of its proper divisors (2048206527080).

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

1220010100120 is a wasteful number, since it uses less digits than its factorization.

1220010100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1220010100120 its reverse (210010100221), we get a palindrome (1430020200341).

The spelling of 1220010100120 in words is "one trillion, two hundred twenty billion, ten million, one hundred thousand, one hundred twenty".