1010123320212 has 576 divisors, whose sum is σ = 2956400778240. Its totient is φ = 289142784000.

The previous prime is 1010123320211. The next prime is 1010123320231. The reversal of 1010123320212 is 2120233210101.

1010123320212 is a `hidden beast` number, since 1 + 0 + 10 + 123 + 320 + 212 = 666.

It is a super-2 number, since 2×1010123320212² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010123320211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6048642553 + ... + 6048642719.

It is an arithmetic number, because the mean of its divisors is an integer number (5132640240).

Almost surely, 2^{1010123320212} is an apocalyptic number.

1010123320212 is a gapful number since it is divisible by the number (12) 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 1010123320212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478200389120).

1010123320212 is an abundant number, since it is smaller than the sum of its proper divisors (1946277458028).

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

1010123320212 is a wasteful number, since it uses less digits than its factorization.

1010123320212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1010123320212 its reverse (2120233210101), we get a palindrome (3130356530313).

The spelling of 1010123320212 in words is "one trillion, ten billion, one hundred twenty-three million, three hundred twenty thousand, two hundred twelve".