100122202101133 has 8 divisors (see below), whose sum is σ = 100155584040120. Its totient is φ = 100088821367040.

The previous prime is 100122202101127. The next prime is 100122202101199. The reversal of 100122202101133 is 331101202221001.

It can be written as a sum of positive squares in 4 ways, for example, as 2447979418404 + 97674222682729 = 1564602^2 + 9883027^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100122202101133 - 2²⁹ = 100121665230221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100122202101133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122202102133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184765041 + ... + 185306137.

It is an arithmetic number, because the mean of its divisors is an integer number (12519448005015).

Almost surely, 2^{100122202101133} is an apocalyptic number.

It is an amenable number.

100122202101133 is a deficient number, since it is larger than the sum of its proper divisors (33381938987).

100122202101133 is an equidigital number, since it uses as much as digits as its factorization.

100122202101133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602447.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100122202101133 its reverse (331101202221001), we get a palindrome (431223404322134).

The spelling of 100122202101133 in words is "one hundred trillion, one hundred twenty-two billion, two hundred two million, one hundred one thousand, one hundred thirty-three".