2012101010201 has 8 divisors (see below), whose sum is σ = 2159644276584. Its totient is φ = 1867800453120.

The previous prime is 2012101010189. The next prime is 2012101010221. The reversal of 2012101010201 is 1020101012102.

It can be written as a sum of positive squares in 4 ways, for example, as 1237878760000 + 774222250201 = 1112600^2 + 879899^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2012101010201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012101010221) 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, 810676040 + ... + 810678521.

It is an arithmetic number, because the mean of its divisors is an integer number (269955534573).

Almost surely, 2^{2012101010201} is an apocalyptic number.

It is an amenable number.

2012101010201 is a deficient number, since it is larger than the sum of its proper divisors (147543266383).

2012101010201 is a wasteful number, since it uses less digits than its factorization.

2012101010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621354651.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2012101010201 its reverse (1020101012102), we get a palindrome (3032202022303).

The spelling of 2012101010201 in words is "two trillion, twelve billion, one hundred one million, ten thousand, two hundred one".