21121122121002 has 48 divisors (see below), whose sum is σ = 46380478252680. Its totient is φ = 6945844317696.

The previous prime is 21121122120979. The next prime is 21121122121027. The reversal of 21121122121002 is 20012122112112.

21121122121002 is a `hidden beast` number, since 21 + 1 + 211 + 221 + 210 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14578735240521 + 6542386880481 = 3818211^2 + 2557809^2 .

It is a super-2 number, since 2×21121122121002² (a number of 27 digits) contains 22 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 23 ways as a sum of consecutive naturals, for example, 22643923 + ... + 23558214.

Almost surely, 2^{21121122121002} is an apocalyptic number.

21121122121002 is an abundant number, since it is smaller than the sum of its proper divisors (25259356131678).

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

21121122121002 is a wasteful number, since it uses less digits than its factorization.

21121122121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46202487 (or 46202484 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21121122121002 its reverse (20012122112112), we get a palindrome (41133244233114).

The spelling of 21121122121002 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, two".