2112135540141 has 48 divisors (see below), whose sum is σ = 3123963924480. Its totient is φ = 1268307532800.

The previous prime is 2112135540121. The next prime is 2112135540157. The reversal of 2112135540141 is 1410455312112.

It is not a de Polignac number, because 2112135540141 - 2⁶ = 2112135540077 is a prime.

It is a super-2 number, since 2×2112135540141² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112135540099 and 2112135540108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112135540121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144748756 + ... + 144763346.

It is an arithmetic number, because the mean of its divisors is an integer number (65082581760).

Almost surely, 2^{2112135540141} is an apocalyptic number.

It is an amenable number.

2112135540141 is a deficient number, since it is larger than the sum of its proper divisors (1011828384339).

2112135540141 is a wasteful number, since it uses less digits than its factorization.

2112135540141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18258 (or 18247 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 2112135540141 in words is "two trillion, one hundred twelve billion, one hundred thirty-five million, five hundred forty thousand, one hundred forty-one".