100120201013 has 32 divisors (see below), whose sum is σ = 122085750528. Its totient is φ = 80150400000.

The previous prime is 100120201009. The next prime is 100120201109. The reversal of 100120201013 is 310102021001.

It is a cyclic number.

It is not a de Polignac number, because 100120201013 - 2² = 100120201009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100120200985 and 100120201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120201003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8267663 + ... + 8279763.

It is an arithmetic number, because the mean of its divisors is an integer number (3815179704).

Almost surely, 2^100120201013 is an apocalyptic number.

It is an amenable number.

100120201013 is a deficient number, since it is larger than the sum of its proper divisors (21965549515).

100120201013 is a wasteful number, since it uses less digits than its factorization.

100120201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12653.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100120201013 its reverse (310102021001), we get a palindrome (410222222014).

The spelling of 100120201013 in words is "one hundred billion, one hundred twenty million, two hundred one thousand, thirteen".