100101122033 has 16 divisors (see below), whose sum is σ = 116896953600. Its totient is φ = 84750270480.

The previous prime is 100101122027. The next prime is 100101122087. The reversal of 100101122033 is 330221101001.

It is a cyclic number.

It is not a de Polignac number, because 100101122033 - 2⁶ = 100101121969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101121999 and 100101122017.

It is not an unprimeable number, because it can be changed into a prime (100101122003) 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, 4046591 + ... + 4071252.

It is an arithmetic number, because the mean of its divisors is an integer number (7306059600).

Almost surely, 2^100101122033 is an apocalyptic number.

It is an amenable number.

100101122033 is a deficient number, since it is larger than the sum of its proper divisors (16795831567).

100101122033 is a wasteful number, since it uses less digits than its factorization.

100101122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117932.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100101122033 its reverse (330221101001), we get a palindrome (430322223034).

The spelling of 100101122033 in words is "one hundred billion, one hundred one million, one hundred twenty-two thousand, thirty-three".