1033212121000 has 32 divisors (see below), whose sum is σ = 2417716365480. Its totient is φ = 413284848000.

The previous prime is 1033212120991. The next prime is 1033212121021. The reversal of 1033212121000 is 1212123301.

1033212121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 225000332964 + 808211788036 = 474342^2 + 899006^2 .

It is a super-3 number, since 3×1033212121000³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516605061 + ... + 516607060.

Almost surely, 2^{1033212121000} is an apocalyptic number.

1033212121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033212121000 is an abundant number, since it is smaller than the sum of its proper divisors (1384504244480).

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

1033212121000 is a wasteful number, since it uses less digits than its factorization.

1033212121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033212142 (or 1033212128 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1033212121000 its reverse (1212123301), we get a palindrome (1034424244301).

The spelling of 1033212121000 in words is "one trillion, thirty-three billion, two hundred twelve million, one hundred twenty-one thousand".