1010212011120 has 320 divisors, whose sum is σ = 3412106611200. Its totient is φ = 245760307200.

The previous prime is 1010212011071. The next prime is 1010212011187. The reversal of 1010212011120 is 211102120101.

It is a super-2 number, since 2×1010212011120² (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 = 1010212011096 and 1010212011105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195056691 + ... + 195061869.

It is an arithmetic number, because the mean of its divisors is an integer number (10662833160).

Almost surely, 2^{1010212011120} is an apocalyptic number.

1010212011120 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 1010212011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706053305600).

1010212011120 is an abundant number, since it is smaller than the sum of its proper divisors (2401894600080).

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

1010212011120 is a wasteful number, since it uses less digits than its factorization.

1010212011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5922 counting only the distinct ones).

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

Adding to 1010212011120 its reverse (211102120101), we get a palindrome (1221314131221).

The spelling of 1010212011120 in words is "one trillion, ten billion, two hundred twelve million, eleven thousand, one hundred twenty".