100230122201301 has 48 divisors (see below), whose sum is σ = 157043039615280. Its totient is φ = 61351279165440.

The previous prime is 100230122201227. The next prime is 100230122201303. The reversal of 100230122201301 is 103102221032001.

100230122201301 is a `hidden beast` number, since 10 + 0 + 2 + 30 + 122 + 201 + 301 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6141480196401 + 94088642004900 = 2478201^2 + 9699930^2 .

It is not a de Polignac number, because 100230122201301 - 2³⁷ = 100092683247829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100230122201303) 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, 89706981 + ... + 90817413.

It is an arithmetic number, because the mean of its divisors is an integer number (3271729991985).

Almost surely, 2^{100230122201301} is an apocalyptic number.

It is an amenable number.

100230122201301 is a deficient number, since it is larger than the sum of its proper divisors (56812917413979).

100230122201301 is a wasteful number, since it uses less digits than its factorization.

100230122201301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124886 (or 1124883 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100230122201301 its reverse (103102221032001), we get a palindrome (203332343233302).

The spelling of 100230122201301 in words is "one hundred trillion, two hundred thirty billion, one hundred twenty-two million, two hundred one thousand, three hundred one".