1012103211312 has 120 divisors (see below), whose sum is σ = 2898993898944. Its totient is φ = 329449341312.

The previous prime is 1012103211271. The next prime is 1012103211337. The reversal of 1012103211312 is 2131123012101.

1012103211312 is a `hidden beast` number, since 1 + 0 + 1 + 210 + 321 + 131 + 2 = 666.

It is a super-2 number, since 2×1012103211312² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32944663 + ... + 32975369.

Almost surely, 2^{1012103211312} is an apocalyptic number.

1012103211312 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 1012103211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449496949472).

1012103211312 is an abundant number, since it is smaller than the sum of its proper divisors (1886890687632).

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

1012103211312 is a wasteful number, since it uses less digits than its factorization.

1012103211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36087 (or 36078 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1012103211312 its reverse (2131123012101), we get a palindrome (3143226223413).

The spelling of 1012103211312 in words is "one trillion, twelve billion, one hundred three million, two hundred eleven thousand, three hundred twelve".