1033212121110 has 72 divisors (see below), whose sum is σ = 2908889553024. Its totient is φ = 254329133760.

The previous prime is 1033212121079. The next prime is 1033212121111. The reversal of 1033212121110 is 111212123301.

1033212121110 is a `hidden beast` number, since 1 + 0 + 332 + 121 + 211 + 1 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033212121111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33949686 + ... + 33980105.

It is an arithmetic number, because the mean of its divisors is an integer number (40401243792).

Almost surely, 2^{1033212121110} is an apocalyptic number.

1033212121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1033212121110 is an abundant number, since it is smaller than the sum of its proper divisors (1875677431914).

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

1033212121110 is a wasteful number, since it uses less digits than its factorization.

1033212121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67929830 (or 67929814 counting only the distinct ones).

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

Adding to 1033212121110 its reverse (111212123301), we get a palindrome (1144424244411).

The spelling of 1033212121110 in words is "one trillion, thirty-three billion, two hundred twelve million, one hundred twenty-one thousand, one hundred ten".