100101122121033 has 12 divisors (see below), whose sum is σ = 157735101524208. Its totient is φ = 60667346739960.

The previous prime is 100101122121023. The next prime is 100101122121043. The reversal of 100101122121033 is 330121221101001.

100101122121033 is a `hidden beast` number, since 100 + 101 + 1 + 221 + 210 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (100101122121023) and next prime (100101122121043).

It is not a de Polignac number, because 100101122121033 - 2⁸ = 100101122120777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101122120997 and 100101122121015.

It is not an unprimeable number, because it can be changed into a prime (100101122121023) 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, 505561222735 + ... + 505561222932.

It is an arithmetic number, because the mean of its divisors is an integer number (13144591793684).

Almost surely, 2^{100101122121033} is an apocalyptic number.

It is an amenable number.

100101122121033 is a deficient number, since it is larger than the sum of its proper divisors (57633979403175).

100101122121033 is a wasteful number, since it uses less digits than its factorization.

100101122121033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011122445684 (or 1011122445681 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100101122121033 its reverse (330121221101001), we get a palindrome (430222343222034).

The spelling of 100101122121033 in words is "one hundred trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, thirty-three".