1010210123120 has 160 divisors (see below), whose sum is σ = 2572494724800. Its totient is φ = 365884416000.

The previous prime is 1010210123089. The next prime is 1010210123159. The reversal of 1010210123120 is 213210120101.

It is a junction number, because it is equal to n+sod(n) for n = 1010210123095 and 1010210123104.

It is a congruent number.

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, 454843610 + ... + 454845830.

It is an arithmetic number, because the mean of its divisors is an integer number (16078092030).

Almost surely, 2^{1010210123120} is an apocalyptic number.

1010210123120 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 1010210123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286247362400).

1010210123120 is an abundant number, since it is smaller than the sum of its proper divisors (1562284601680).

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

1010210123120 is a wasteful number, since it uses less digits than its factorization.

1010210123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1010210123120 its reverse (213210120101), we get a palindrome (1223420243221).

The spelling of 1010210123120 in words is "one trillion, ten billion, two hundred ten million, one hundred twenty-three thousand, one hundred twenty".