100301010122133 has 48 divisors (see below), whose sum is σ = 164397425527296. Its totient is φ = 58570742545920.

The previous prime is 100301010122101. The next prime is 100301010122153. The reversal of 100301010122133 is 331221010103001.

100301010122133 is a `hidden beast` number, since 10 + 0 + 301 + 0 + 101 + 221 + 33 = 666.

It is not a de Polignac number, because 100301010122133 - 2⁵ = 100301010122101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100301010122153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385041453 + ... + 385301858.

It is an arithmetic number, because the mean of its divisors is an integer number (3424946365152).

Almost surely, 2^{100301010122133} is an apocalyptic number.

It is an amenable number.

100301010122133 is a deficient number, since it is larger than the sum of its proper divisors (64096415405163).

100301010122133 is a wasteful number, since it uses less digits than its factorization.

100301010122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770343394 (or 770343391 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100301010122133 its reverse (331221010103001), we get a palindrome (431522020225134).

The spelling of 100301010122133 in words is "one hundred trillion, three hundred one billion, ten million, one hundred twenty-two thousand, one hundred thirty-three".