2010020100101 has 16 divisors (see below), whose sum is σ = 2172000245184. Its totient is φ = 1849093588224.

The previous prime is 2010020100089. The next prime is 2010020100103. The reversal of 2010020100101 is 1010010200102.

It is a cyclic number.

It is not a de Polignac number, because 2010020100101 - 2¹⁴ = 2010020083717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010020100103) 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, 31069550 + ... + 31134176.

It is an arithmetic number, because the mean of its divisors is an integer number (135750015324).

Almost surely, 2^{2010020100101} is an apocalyptic number.

It is an amenable number.

2010020100101 is a deficient number, since it is larger than the sum of its proper divisors (161980145083).

2010020100101 is a wasteful number, since it uses less digits than its factorization.

2010020100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72740.

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

Adding to 2010020100101 its reverse (1010010200102), we get a palindrome (3020030300203).

The spelling of 2010020100101 in words is "two trillion, ten billion, twenty million, one hundred thousand, one hundred one".