100201412013 has 16 divisors (see below), whose sum is σ = 146748065280. Its totient is φ = 60533575344.

The previous prime is 100201412011. The next prime is 100201412057. The reversal of 100201412013 is 310214102001.

It is not a de Polignac number, because 100201412013 - 2¹ = 100201412011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100201411983 and 100201412001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201412011) 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, 38214331 + ... + 38216952.

It is an arithmetic number, because the mean of its divisors is an integer number (9171754080).

Almost surely, 2^100201412013 is an apocalyptic number.

It is an amenable number.

100201412013 is a deficient number, since it is larger than the sum of its proper divisors (46546653267).

100201412013 is a wasteful number, since it uses less digits than its factorization.

100201412013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76431328.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100201412013 its reverse (310214102001), we get a palindrome (410415514014).

The spelling of 100201412013 in words is "one hundred billion, two hundred one million, four hundred twelve thousand, thirteen".