220121112212001 has 192 divisors, whose sum is σ = 464229997410816. Its totient is φ = 96658641100800.

The previous prime is 220121112211901. The next prime is 220121112212017. The reversal of 220121112212001 is 100212211121022.

220121112212001 is a `hidden beast` number, since 220 + 1 + 21 + 1 + 1 + 221 + 200 + 1 = 666.

It is not a de Polignac number, because 220121112212001 - 2¹⁰ = 220121112210977 is a prime.

It is a super-3 number, since 3×220121112212001³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (220121112212021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13755810 + ... + 25089131.

It is an arithmetic number, because the mean of its divisors is an integer number (2417864569848).

Almost surely, 2^{220121112212001} is an apocalyptic number.

220121112212001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220121112212001 is an abundant number, since it is smaller than the sum of its proper divisors (244108885198815).

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

220121112212001 is a wasteful number, since it uses less digits than its factorization.

220121112212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38845032 (or 38845029 counting only the distinct ones).

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

Adding to 220121112212001 its reverse (100212211121022), we get a palindrome (320333323333023).

The spelling of 220121112212001 in words is "two hundred twenty trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twelve thousand, one".