1010212211120 has 320 divisors, whose sum is σ = 2786785848576. Its totient is φ = 333448151040.

The previous prime is 1010212211051. The next prime is 1010212211137. The reversal of 1010212211120 is 211122120101.

1010212211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1010212211120³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1010212211095 and 1010212211104.

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, 341632682 + ... + 341635638.

Almost surely, 2^{1010212211120} is an apocalyptic number.

1010212211120 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 1010212211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393392924288).

1010212211120 is an abundant number, since it is smaller than the sum of its proper divisors (1776573637456).

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

1010212211120 is a wasteful number, since it uses less digits than its factorization.

1010212211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1010212211120 its reverse (211122120101), we get a palindrome (1221334331221).

The spelling of 1010212211120 in words is "one trillion, ten billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty".