2012102022121 has 32 divisors (see below), whose sum is σ = 2162724688800. Its totient is φ = 1868141721600.

The previous prime is 2012102022107. The next prime is 2012102022131. The reversal of 2012102022121 is 1212202012102.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 606940716096 + 1405161306025 = 779064^2 + 1185395^2 .

It is not a de Polignac number, because 2012102022121 - 2⁵ = 2012102022089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012102022095 and 2012102022104.

It is not an unprimeable number, because it can be changed into a prime (2012102022131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353431551 + ... + 353437243.

It is an arithmetic number, because the mean of its divisors is an integer number (67585146525).

Almost surely, 2^{2012102022121} is an apocalyptic number.

It is an amenable number.

2012102022121 is a deficient number, since it is larger than the sum of its proper divisors (150622666679).

2012102022121 is a wasteful number, since it uses less digits than its factorization.

2012102022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9549.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2012102022121 its reverse (1212202012102), we get a palindrome (3224304034223).

The spelling of 2012102022121 in words is "two trillion, twelve billion, one hundred two million, twenty-two thousand, one hundred twenty-one".