2010010201001 has 32 divisors (see below), whose sum is σ = 2356366464000. Its totient is φ = 1695271032000.

The previous prime is 2010010200973. The next prime is 2010010201027. The reversal of 2010010201001 is 1001020100102.

It is a cyclic number.

It is not a de Polignac number, because 2010010201001 - 2⁶ = 2010010200937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2010010201001.

It is not an unprimeable number, because it can be changed into a prime (2010010201301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756466 + ... + 2665556.

It is an arithmetic number, because the mean of its divisors is an integer number (73636452000).

Almost surely, 2^{2010010201001} is an apocalyptic number.

It is an amenable number.

2010010201001 is a deficient number, since it is larger than the sum of its proper divisors (346356262999).

2010010201001 is a wasteful number, since it uses less digits than its factorization.

2010010201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909341.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2010010201001 its reverse (1001020100102), we get a palindrome (3011030301103).

The spelling of 2010010201001 in words is "two trillion, ten billion, ten million, two hundred one thousand, one".