42033101122101 has 16 divisors (see below), whose sum is σ = 56179669478400. Its totient is φ = 27954312827760.

The previous prime is 42033101122099. The next prime is 42033101122151. The reversal of 42033101122101 is 10122110133024.

It is not a de Polignac number, because 42033101122101 - 2¹ = 42033101122099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033101122151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11657350 + ... + 14831048.

It is an arithmetic number, because the mean of its divisors is an integer number (3511229342400).

Almost surely, 2^{42033101122101} is an apocalyptic number.

It is an amenable number.

42033101122101 is a deficient number, since it is larger than the sum of its proper divisors (14146568356299).

42033101122101 is a wasteful number, since it uses less digits than its factorization.

42033101122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184376.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 42033101122101 its reverse (10122110133024), we get a palindrome (52155211255125).

The spelling of 42033101122101 in words is "forty-two trillion, thirty-three billion, one hundred one million, one hundred twenty-two thousand, one hundred one".