201124114021134 has 64 divisors (see below), whose sum is σ = 450361717090560. Its totient is φ = 66528502092000.

The previous prime is 201124114021121. The next prime is 201124114021141. The reversal of 201124114021134 is 431120411421102.

201124114021134 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 2 + 411 + 4 + 0 + 211 + 34 = 666.

It is a super-2 number, since 2×201124114021134² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201124114021098 and 201124114021107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502131624 + ... + 502532004.

It is an arithmetic number, because the mean of its divisors is an integer number (7036901829540).

Almost surely, 2^{201124114021134} is an apocalyptic number.

201124114021134 is an abundant number, since it is smaller than the sum of its proper divisors (249237603069426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201124114021134 is a wasteful number, since it uses less digits than its factorization.

201124114021134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471534 (or 471528 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 201124114021134 its reverse (431120411421102), we get a palindrome (632244525442236).

The spelling of 201124114021134 in words is "two hundred one trillion, one hundred twenty-four billion, one hundred fourteen million, twenty-one thousand, one hundred thirty-four".