100122010001133 has 16 divisors (see below), whose sum is σ = 136661739217920. Its totient is φ = 65171922583856.

The previous prime is 100122010001107. The next prime is 100122010001149. The reversal of 100122010001133 is 331100010221001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100122010001133 - 2¹⁰ = 100122010000109 is a prime.

It is a super-2 number, since 2×100122010001133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122010001183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847297935 + ... + 847416092.

It is an arithmetic number, because the mean of its divisors is an integer number (8541358701120).

Almost surely, 2^{100122010001133} is an apocalyptic number.

It is an amenable number.

100122010001133 is a deficient number, since it is larger than the sum of its proper divisors (36539729216787).

100122010001133 is a wasteful number, since it uses less digits than its factorization.

100122010001133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694714496.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100122010001133 its reverse (331100010221001), we get a palindrome (431222020222134).

The spelling of 100122010001133 in words is "one hundred trillion, one hundred twenty-two billion, ten million, one thousand, one hundred thirty-three".