2010020101001 has 8 divisors (see below), whose sum is σ = 2193669393024. Its totient is φ = 1826524174320.

The previous prime is 2010020100971. The next prime is 2010020101009. The reversal of 2010020101001 is 1001010200102.

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

It is a cyclic number.

It is not a de Polignac number, because 2010020101001 - 2⁶ = 2010020100937 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 2010020101001.

It is not an unprimeable number, because it can be changed into a prime (2010020101009) 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, 38313926 + ... + 38366351.

It is an arithmetic number, because the mean of its divisors is an integer number (274208674128).

Almost surely, 2^{2010020101001} is an apocalyptic number.

It is an amenable number.

2010020101001 is a deficient number, since it is larger than the sum of its proper divisors (183649292023).

2010020101001 is a wasteful number, since it uses less digits than its factorization.

2010020101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76682671.

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

Adding to 2010020101001 its reverse (1001010200102), we get a palindrome (3011030301103).

The spelling of 2010020101001 in words is "two trillion, ten billion, twenty million, one hundred one thousand, one".