1011221103312 has 100 divisors (see below), whose sum is σ = 3344876889376. Its totient is φ = 288920312640.

The previous prime is 1011221103307. The next prime is 1011221103317. The reversal of 1011221103312 is 2133011221101.

1011221103312 is a `hidden beast` number, since 10 + 112 + 211 + 0 + 331 + 2 = 666.

1011221103312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1011221103307) and next prime (1011221103317).

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 (1011221103317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55724014 + ... + 55742157.

Almost surely, 2^{1011221103312} is an apocalyptic number.

1011221103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011221103312 is an abundant number, since it is smaller than the sum of its proper divisors (2333655786064).

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

1011221103312 is a wasteful number, since it uses less digits than its factorization.

1011221103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111466198 (or 111466183 counting only the distinct ones).

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

Adding to 1011221103312 its reverse (2133011221101), we get a palindrome (3144232324413).

The spelling of 1011221103312 in words is "one trillion, eleven billion, two hundred twenty-one million, one hundred three thousand, three hundred twelve".