33342213120100 has 72 divisors (see below), whose sum is σ = 74953092148200. Its totient is φ = 12858829670400.

The previous prime is 33342213120089. The next prime is 33342213120101. The reversal of 33342213120100 is 102131224333.

It can be written as a sum of positive squares in 12 ways, for example, as 21648603673636 + 11693609446464 = 4652806^2 + 3419592^2 .

It is a super-2 number, since 2×33342213120100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (33342213120101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6052021 + ... + 10164220.

It is an arithmetic number, because the mean of its divisors is an integer number (1041015168725).

Almost surely, 2^{33342213120100} is an apocalyptic number.

It is an amenable number.

33342213120100 is an abundant number, since it is smaller than the sum of its proper divisors (41610879028100).

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

33342213120100 is a wasteful number, since it uses less digits than its factorization.

33342213120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16216993 (or 16216986 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 33342213120100 its reverse (102131224333), we get a palindrome (33444344344433).

The spelling of 33342213120100 in words is "thirty-three trillion, three hundred forty-two billion, two hundred thirteen million, one hundred twenty thousand, one hundred".