2010112101121 has 16 divisors (see below), whose sum is σ = 2035740579264. Its totient is φ = 1984621708224.

The previous prime is 2010112101047. The next prime is 2010112101157. The reversal of 2010112101121 is 1211012110102.

It is a happy number.

It is not a de Polignac number, because 2010112101121 - 2⁹ = 2010112100609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010112171121) 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, 38295931 + ... + 38348383.

It is an arithmetic number, because the mean of its divisors is an integer number (127233786204).

Almost surely, 2^{2010112101121} is an apocalyptic number.

It is an amenable number.

2010112101121 is a deficient number, since it is larger than the sum of its proper divisors (25628478143).

2010112101121 is a wasteful number, since it uses less digits than its factorization.

2010112101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53760.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2010112101121 its reverse (1211012110102), we get a palindrome (3221124211223).

The spelling of 2010112101121 in words is "two trillion, ten billion, one hundred twelve million, one hundred one thousand, one hundred twenty-one".