21001222123038 has 160 divisors (see below), whose sum is σ = 47811790540800. Its totient is φ = 6888943204416.

The previous prime is 21001222123031. The next prime is 21001222123093. The reversal of 21001222123038 is 83032122210012.

21001222123038 is a `hidden beast` number, since 21 + 0 + 0 + 122 + 212 + 303 + 8 = 666.

It is a super-2 number, since 2×21001222123038² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001222123031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6847478781 + ... + 6847481847.

It is an arithmetic number, because the mean of its divisors is an integer number (298823690880).

Almost surely, 2^{21001222123038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21001222123038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23905895270400).

21001222123038 is an abundant number, since it is smaller than the sum of its proper divisors (26810568417762).

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

21001222123038 is a wasteful number, since it uses less digits than its factorization.

21001222123038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 21001222123038 in words is "twenty-one trillion, one billion, two hundred twenty-two million, one hundred twenty-three thousand, thirty-eight".