2010144011121 has 6 divisors (see below), whose sum is σ = 2903541349410. Its totient is φ = 1340096007408.

The previous prime is 2010144011093. The next prime is 2010144011131. The reversal of 2010144011121 is 1211104410102.

2010144011121 is a `hidden beast` number, since 2 + 0 + 101 + 440 + 1 + 1 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1944451758096 + 65692253025 = 1394436^2 + 256305^2 .

It is not a de Polignac number, because 2010144011121 - 2³⁵ = 1975784272753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010144011094 and 2010144011103.

It is not an unprimeable number, because it can be changed into a prime (2010144011131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111674667276 + ... + 111674667293.

It is an arithmetic number, because the mean of its divisors is an integer number (483923558235).

Almost surely, 2^{2010144011121} is an apocalyptic number.

It is an amenable number.

2010144011121 is a deficient number, since it is larger than the sum of its proper divisors (893397338289).

2010144011121 is a wasteful number, since it uses less digits than its factorization.

2010144011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223349334575 (or 223349334572 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2010144011121 its reverse (1211104410102), we get a palindrome (3221248421223).

The spelling of 2010144011121 in words is "two trillion, ten billion, one hundred forty-four million, eleven thousand, one hundred twenty-one".