1010120111220 has 768 divisors, whose sum is σ = 3411188121600. Its totient is φ = 220711680000.

The previous prime is 1010120111153. The next prime is 1010120111237. The reversal of 1010120111220 is 221110210101.

It is a super-2 number, since 2×1010120111220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1010120111196 and 1010120111205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4226443861 + ... + 4226444099.

It is an arithmetic number, because the mean of its divisors is an integer number (4441651200).

Almost surely, 2^{1010120111220} is an apocalyptic number.

1010120111220 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 1010120111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705594060800).

1010120111220 is an abundant number, since it is smaller than the sum of its proper divisors (2401068010380).

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

1010120111220 is a wasteful number, since it uses less digits than its factorization.

1010120111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1010120111220 its reverse (221110210101), we get a palindrome (1231230321321).

The spelling of 1010120111220 in words is "one trillion, ten billion, one hundred twenty million, one hundred eleven thousand, two hundred twenty".