33402042121 has 20 divisors (see below), whose sum is σ = 39605703044. Its totient is φ = 28160848800.

The previous prime is 33402042101. The next prime is 33402042131. The reversal of 33402042121 is 12124020433.

It can be written as a sum of positive squares in 2 ways, for example, as 13417978896 + 19984063225 = 115836^2 + 141365^2 .

It is not a de Polignac number, because 33402042121 - 2¹⁵ = 33402009353 is a prime.

It is a super-2 number, since 2×33402042121² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33402042092 and 33402042101.

It is not an unprimeable number, because it can be changed into a prime (33402042101) 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, 32431 + ... + 260491.

Almost surely, 2^33402042121 is an apocalyptic number.

It is an amenable number.

33402042121 is a deficient number, since it is larger than the sum of its proper divisors (6203660923).

33402042121 is an frugal number, since it uses more digits than its factorization.

33402042121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228150 (or 228129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 33402042121 its reverse (12124020433), we get a palindrome (45526062554).

The spelling of 33402042121 in words is "thirty-three billion, four hundred two million, forty-two thousand, one hundred twenty-one".