34142222002100 has 36 divisors (see below), whose sum is σ = 74094029097900. Its totient is φ = 13655892053760.

The previous prime is 34142222001947. The next prime is 34142222002111. The reversal of 34142222002100 is 120022224143.

It can be written as a sum of positive squares in 6 ways, for example, as 1344403146256 + 32797818855844 = 1159484^2 + 5726938^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11081585 + ... + 13823384.

Almost surely, 2^{34142222002100} is an apocalyptic number.

It is an amenable number.

34142222002100 is an abundant number, since it is smaller than the sum of its proper divisors (39951807095800).

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

34142222002100 is a wasteful number, since it uses less digits than its factorization.

34142222002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24918692 (or 24918685 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 34142222002100 its reverse (120022224143), we get a palindrome (34262244226243).

The spelling of 34142222002100 in words is "thirty-four trillion, one hundred forty-two billion, two hundred twenty-two million, two thousand, one hundred".