2010000120101 has 16 divisors (see below), whose sum is σ = 2122167260400. Its totient is φ = 1900954137600.

The previous prime is 2010000120091. The next prime is 2010000120151. The reversal of 2010000120101 is 1010210000102.

It can be written as a sum of positive squares in 8 ways, for example, as 43316431876 + 1966683688225 = 208126^2 + 1402385^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010000120101 - 2²⁶ = 2009933011237 is a prime.

It is a super-3 number, since 3×2010000120101³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010000120151) 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, 1931006 + ... + 2783663.

It is an arithmetic number, because the mean of its divisors is an integer number (132635453775).

Almost surely, 2^{2010000120101} is an apocalyptic number.

It is an amenable number.

2010000120101 is a deficient number, since it is larger than the sum of its proper divisors (112167140299).

2010000120101 is a wasteful number, since it uses less digits than its factorization.

2010000120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4715000.

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

Adding to 2010000120101 its reverse (1010210000102), we get a palindrome (3020210120203).

The spelling of 2010000120101 in words is "two trillion, ten billion, one hundred twenty thousand, one hundred one".