21121220122002 has 384 divisors, whose sum is σ = 63980699627520. Its totient is φ = 5014846287360.

The previous prime is 21121220121983. The next prime is 21121220122019. The reversal of 21121220122002 is 20022102212112.

It is a happy number.

21121220122002 is a `hidden beast` number, since 211 + 21 + 220 + 12 + 200 + 2 = 666.

It is a super-2 number, since 2×21121220122002² (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 191 ways as a sum of consecutive naturals, for example, 72232398 + ... + 72524214.

It is an arithmetic number, because the mean of its divisors is an integer number (166616405280).

Almost surely, 2^{21121220122002} is an apocalyptic number.

21121220122002 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 21121220122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31990349813760).

21121220122002 is an abundant number, since it is smaller than the sum of its proper divisors (42859479505518).

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

21121220122002 is a wasteful number, since it uses less digits than its factorization.

21121220122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291975 (or 291956 counting only the distinct ones).

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

Adding to 21121220122002 its reverse (20022102212112), we get a palindrome (41143322334114).

The spelling of 21121220122002 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, two".