201012121100013 has 8 divisors (see below), whose sum is σ = 279669038052288. Its totient is φ = 128181642440544.

The previous prime is 201012121099987. The next prime is 201012121100071. The reversal of 201012121100013 is 310001121210102.

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

It is not a de Polignac number, because 201012121100013 - 2⁶ = 201012121099949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201012121099965 and 201012121100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012121140013) 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, 1456609573120 + ... + 1456609573257.

It is an arithmetic number, because the mean of its divisors is an integer number (34958629756536).

Almost surely, 2^{201012121100013} is an apocalyptic number.

201012121100013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

201012121100013 is a deficient number, since it is larger than the sum of its proper divisors (78656916952275).

201012121100013 is a wasteful number, since it uses less digits than its factorization.

201012121100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913219146403.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 201012121100013 its reverse (310001121210102), we get a palindrome (511013242310115).

The spelling of 201012121100013 in words is "two hundred one trillion, twelve billion, one hundred twenty-one million, one hundred thousand, thirteen".