100010202201013 has 16 divisors (see below), whose sum is σ = 108601404912000. Its totient is φ = 91548287288640.

The previous prime is 100010202201011. The next prime is 100010202201043. The reversal of 100010202201013 is 310102202010001.

It is not a de Polignac number, because 100010202201013 - 2¹ = 100010202201011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100010202200984 and 100010202201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010202201011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18114313 + ... + 22981486.

It is an arithmetic number, because the mean of its divisors is an integer number (6787587807000).

Almost surely, 2^{100010202201013} is an apocalyptic number.

100010202201013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100010202201013 is a deficient number, since it is larger than the sum of its proper divisors (8591202710987).

100010202201013 is a wasteful number, since it uses less digits than its factorization.

100010202201013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41097372.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100010202201013 its reverse (310102202010001), we get a palindrome (410112404211014).

The spelling of 100010202201013 in words is "one hundred trillion, ten billion, two hundred two million, two hundred one thousand, thirteen".