42101103322233 has 12 divisors (see below), whose sum is σ = 60813646822500. Its totient is φ = 28066967434656.

The previous prime is 42101103322189. The next prime is 42101103322273. The reversal of 42101103322233 is 33222330110124.

42101103322233 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 1 + 103 + 322 + 233 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19541377236969 + 22559726085264 = 4420563^2 + 4749708^2 .

It is not a de Polignac number, because 42101103322233 - 2⁶ = 42101103322169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42101103322197 and 42101103322206.

It is not an unprimeable number, because it can be changed into a prime (42101103322273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35617858 + ... + 36780891.

It is an arithmetic number, because the mean of its divisors is an integer number (5067803901875).

Almost surely, 2^{42101103322233} is an apocalyptic number.

It is an amenable number.

42101103322233 is a deficient number, since it is larger than the sum of its proper divisors (18712543500267).

42101103322233 is a wasteful number, since it uses less digits than its factorization.

42101103322233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72463368 (or 72463365 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 42101103322233 its reverse (33222330110124), we get a palindrome (75323433432357).

The spelling of 42101103322233 in words is "forty-two trillion, one hundred one billion, one hundred three million, three hundred twenty-two thousand, two hundred thirty-three".