21114201042 has 128 divisors (see below), whose sum is σ = 56066515200. Its totient is φ = 5814144000.

The previous prime is 21114201011. The next prime is 21114201067. The reversal of 21114201042 is 24010241112.

It is a super-3 number, since 3×21114201042³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256792 + ... + 328892.

It is an arithmetic number, because the mean of its divisors is an integer number (438019650).

Almost surely, 2^21114201042 is an apocalyptic number.

21114201042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21114201042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28033257600).

21114201042 is an abundant number, since it is smaller than the sum of its proper divisors (34952314158).

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

21114201042 is a wasteful number, since it uses less digits than its factorization.

21114201042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72169 (or 72163 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21114201042 its reverse (24010241112), we get a palindrome (45124442154).

The spelling of 21114201042 in words is "twenty-one billion, one hundred fourteen million, two hundred one thousand, forty-two".